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Yes XRS rims will fit your Corolla S.

195/55/16 (XRS)

195/65/15 (S/LE and CE)

Just remember, the stock Corolla XRS rolling radius is smaller than that of the Corolla S/LE/CE because of the low profile tires and to match the rolling radius of the Celica GTS so that the 6 speed gear ratios are not altered.

In order to keep your speedo accurate and overall gearing of the car the same, you will have to get 195/60/16 tires to keep the rolling radius the same.

You can calculate the tire size and speedo calibrations here:

http://www.miata.net/garage/tirecalcold.html
 
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