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.

[152.675, 200.533, 238.002, 241.201, 89.342, 240.222, 130.38, -34.405]
[ 0.121  0.159  0.189  0.192  0.071  0.191  0.104 -0.027]