If weight W varies inversely with the distance r2 from the center of the earth, then, if k = the proportionality constant
W1 = k/r12 then 137 = k/(3978)2 of k = 2,167,954,308
Then for the second weight at 348 farther, we have
Weight = (2,167,954,308)/(3978+348)2 = 115.85 pounds