Platt also had a penalty saved to deny him a hat-trick as Slough made it four games unbeaten.
With Ryan Fenton and Danny Jordan returning from injury, Slough reverted back to their three-pronged attack of Jordan, Romeo and Platt.
Slough looked to gain the early advantage against a youthful Winchester team and dominated the early stages of the game, but the visitors dealt with everything the Rebels threw at them.
The Rebels almost broke the deadlock after a quarter of an hour, but after Danny Jordan’s 25-yard effort was turned around the post by Clint Davies, Luke Evans’ effort from the resulting corner was blocked.
Winchester had their best chance of the game on 20 minutes as Taylor Morgan’s shot was palmed away superbly by Jamie Jackson at full stretch, as Slough failed to stop Adam George playing the striker through.
The early pressure from Slough paid off with a goal on 25 minutes from Dean Harper. James Pritchard whipped the ball in from a corner and Harper rose at the near post to power the ball into the goal.
Slough were continuing to look dangerous in possession of the ball, without creating too many clear-cut chances. Jagdeep Makh in particular looked comfortable on the right hand side of midfield and tried to release the strikers wherever possible, whereas Winchester were showing the potential to pose a threat in attack, but were stifled by the Slough defence.
Just before half time, Makh’s pass released Yashwa Romeo but Clint Davies saved his deflected shot at the near post, and Slough headed in with a deserved one-goal lead at the interval.
Slough applied more pressure in the second half and were rewarded with three goals. Eight minutes in, Makh stretched to intercept a pass on the right and played a great ball over the top for Platt to chase. He brought the ball down well, bore down on goal and fired past Davies, who was cautioned for protesting at the lack of an offside flag.
The goal more or less killed the game off as a contest, and Slough continued to threaten with Byron Bubb, a replacement for Danny Jordan, almost setting Romeo and Platt away with his trickery.
Slough scored their third goal on 70 minutes through Platt, though the striker knew little about it. Ryan Fenton strode forward and shot from the edge of the box, but with the ball appearing to skew off target, it hit Platt in the six yard box and rolled into the bottom corner past Davies for the striker’s 10th goal of the season.
Six minutes later, Platt was presented with the chance to score his eleventh. Yashwa Romeo was played in on goal by Bubb, and as he tried to round Davies, the keeper brought him down for a clear penalty. Davies quietly retreated to his goal, fortunate not to be shown a second yellow card. Dean Harper left the spot-kick to Platt, but his placed shot was well saved by Davies at full stretch diving to his left, denying the striker a hat trick.
Slough continued to pile forwards with Winchester having no answer to their attacks, and the Rebels netted a fourth time with Yashwa Romeo’s ninth goal in twelve games. Jagdeep Makh picked the ball up on the right and delivered a super cross which Romeo emphatically headed into the bottom corner to complete a comfortable win.
Winchester City Line up
1. Clint Davies, 2. Gareth Byers, 3. Danny King, 4. Jono Richardson, 5. Scott Gillham, 6. Matt Palmer, 7. Andrew Borthwich, 8. Adam George (c), 9. Taylor Morgan, 10. Carl Foster, 11. Tom Butcher. Subs: 12. James Roden, 14. Jaimie Craven, 15. Richard Gregory, 16. Connor McCarthy.