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.

[43.187, -67.868, 118.902, 224.711, 87.405, 34.537, 127.959, 152.86, 29.621, -33.466]
[ 0.06  -0.095  0.166  0.313  0.122  0.048  0.178  0.213  0.041 -0.047]