Read those links on TireRack again.
The measured rim width is the rim width at which the tires will perform exactly to spec, with tread width and sidewall heights being exactly as advertised. Strictly speaking, we need a .5 inch wider wheel just to get to OEM tire sizes, if you're only going to fit to the measured rim width.
Rim width range is the width at which the tire will perform properly as designed, and safely, you just won't be getting EXACTLY 225mm wide contact patch and EXACTLY 45% sidewall height because of the way the sidewall is stretched/compressed in to fit various rim widths.
If you want to fit tires to your rims, check the rim width range. If your rim width falls in the range, the tire is fine for your rim. For us, with 18s, the best we can get is 225/45R18. 235 section widths or 40 aspect ratios push beyond our 7" rim.