Leave those partitions alone. You don't need to install Ubuntu on an SSD: it's pretty fast as it is. Instead, resize the Data partition and leave some space for Ubuntu, which you can format from the setup.
If you really want Ubuntu on your SSD, resize your Windows 7 partition from 220GB to 180GB, so that there's 40GB of free space. Boot into the Ubuntu installer, and choose the "Something Else..." option when asked how you want to install Ubuntu.
From here, right click the 40GB partition on the second drive (sdb
), select (I think) "Properties," format it as ext4
and mount it as /
. Then, right click the partition you made on the first drive (sda
), format it as ext4
and mount it as /home
.
Proceed with the installation, and you should have a successful dual boot of Ubuntu and Windows, with the Ubuntu OS itself on the SSD and all your data on the HDD.
If you need any more details or help with this, by all means, comment and I'll help. Sorry for the unspecific instructions; I don't have an install screen in front of me at the moment.