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.

[103.286, -45.97, 115.495, 210.558, -96.143, 165.996, -86.865, -78.029]
[ 0.358 -0.159  0.401  0.73  -0.333  0.576 -0.301 -0.271]

[102.087, 196.442, 65.693, 233.766]
[0.171 0.329 0.11  0.391]

[-35.304, 2.146, -93.241, 71.908, 7.904, -88.357, -66.665, 74.225]

[ 0.277 -0.017  0.732 -0.564 -0.062  0.694  0.523 -0.583]