A company orders 22 boxed lunches from a deli for $273.90. If each boxed lunch costs the same amount, how much do 16 boxed lunches cost?

The cost of each boxed lunch is $273.90/22 = $<<273.90/22=12.45>>12.45.

So, 16 boxed lunches cost $12.45 x 16 = $<<12.45*16=199.20>>199.20. Answer: \boxed{199.20}.