I had to lease an installed car breathalyzer (court ordered). They informed me that if I didn''t provide my SSN there is an additional $200 deposit

I signed an extensive contract , including my case number, and driver''s license. The company said I shouldn''t worry the paperwork is sent off every week. When i asked where it was secured in the meantime they pointed to a pile. When asked if it was under lock in key I was told no but it is mailed every month. When I asked if I wasn''t willing to provide this information they stated it would be an additional $200 deposit. As a victim of identity theft this makes me very nervous. I felt like I had not option but to provide my SSN since I didn''t have $200. Is this legal?