In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

[97.182, 75.944, -25.978, 20.465, 122.352, -18.607, 141.366, 174.341, 101.906]
[ 0.141  0.11  -0.038  0.03   0.178 -0.027  0.205  0.253  0.148]