Hampshire had begun the day on 194-3 and Crawley moved to a chanceless hundred off 189 balls, with 15 fours.
BBC: Trescothick leads Somerset push
2.
More rain cut the target to 175 off 29 overs but Pietersen's chanceless knock saw Hants home with four balls left.
BBC: SPORT | Cricket | Counties | Pietersen steers Hampshire home
3.
It was a chanceless exhibition of orthodox batting by Ramprakash, who had arrived at the crease in the second over of the day after Yorkshire had declared overnight with a first innings lead of 210.