Installed XNA Redistributable 3.1 but can not locate target files

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Visual-Studio

XNA3.0

installer

, +

Hello all,

I wanted to look at an (Open Source) Visual Studio project which requires XNA framework 3.1 installed (and referred in project as below).

<Import Project="$(MSBuildExtensionsPath)\Microsoft\XNA Game Studio\Microsoft.Xna.GameStudio.targets" />

So I went to MS website and downloaded XNA redist 3.1 installer (xnafx31_redist.msi)
http://www.microsoft.com/en-us/download/details.aspx?id=15163[^]

I installed it, but the expected dir (below) was NOT created.

C:\Program Files (x86)\MSBuild\Microsoft\XNA Game Studio\

When I looked around I found that the installer created below Dir

C:\Program Files (x86)\Microsoft XNA\XNA Game Studio\v3.1\Redist\DX Redist

But this new dir does not have "Microsoft.Xna.GameStudio.targets" file in it.
Instead it has below items

APR2007_d3dx9_33_x86.cab
APR2007_xinput_x86.cab
DSETUP.dll
dsetup32.dll
DXSETUP.exe
dxupdate.cab
Mar2009_X3DAudio_x86.cab
Mar2009_xact_x86.cab
Mar2009_XAudio_x86.cab
OCT2006_d3dx9_31_x86.cab

I even tried to run the "DXSETUP.exe", but it says "preparation is OK" and closes.
I uninstalled XNA 3.1 then reinstalled it but the problem persists.

【Ques】
How to install XNA Framework 3.1, so that I can locate the file "Microsoft.Xna.GameStudio.targets"

(If its a stupid question, I am sorry for my ignorance but I will appreciate any help)