If y/(x - z) = (y + x)/z = x/y then find x : y : z ?1 : 2 : 33 : 2 : 14 : 2 : 32 : 4 : 7

The question seems to be incomplete. Could you please provide the complete question?

The given equations are:

1. y/(x - z) = x/y
2. (y + x)/z = x/y

From equation 1, we can rearrange to get: y^2 = x(x - z)

From equation 2, we can rearrange to get: y^2 + xy = xz

Now, we can equate the two expressions we found for y^2:

x(x - z) = xz + xy

Solving for x, we get: x = yz/(z + y)

This equation tells us that the ratio x : y is the same as z : (z + y).

Similarly, we can find that the ratio y : z is the same as x : (x - z).

Therefore, the ratios x : y : z are not fixed values like 1 : 2 : 3, 3 : 2 : 1, 4 : 2 : 3, or 2 : 4 : 7. Instead, they depend on the specific values of x, y, and z that satisfy the original equations.

The given question is a problem of ratios and it seems to be incomplete. The question is asking to find the ratio of x : y : z given certain conditions, but it does not provide enough information to solve for the variables. The ratios provided at the end of the question (1 : 2 : 3, 3 : 2 : 1, 4 : 2 : 3, 2 : 4 : 7) seem to be potential answers, but without the complete problem, it's impossible to determine which, if any, is the correct ratio. Please provide the complete problem for a proper solution.