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.

[56.345, -71.526, 163.534, 45.488, 161.533, 4.674, 190.511, -36.911]
[ 0.11  -0.139  0.318  0.089  0.314  0.009  0.371 -0.072]

[138.421, 125.821, 245.105, 164.342, 28.3, 37.102]
[0.187 0.17  0.332 0.222 0.038 0.05 ]

[34.595, -83.835, 35.107, 184.538, 185.878, 51.854, 218.797, 74.66]

[ 0.049 -0.119  0.05   0.263  0.265  0.074  0.312  0.106]