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.
[-67.627, -13.111, 106.499, 89.157, 151.762, 143.589, 53.041, 127.178, 224.363, 132.883]