If you look at the end result of my calculations, you can see that Rey's 255/55/18 tires are in fact, taller by a noticeable 0.86 inches. If the aspect ratio and wheel diameter remain the same, as width increases, so does the tire height (diameter). Of course, the tire width increases as well, so at some point the tire will interfere with a suspension component unless wheel spacers are added.
Keep in mind, too, that larger tires are heavier tires and that extra weight may be centered further out towards the circumference - undesireable for a number of reasons.