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.
[131.648, 141.472, -72.767, 149.931, 42.476, 30.711, 1.653, 103.056, -12.733, 136.115]