An A.P. consists of \(55\) terms in which the \({4}^{\text{th}}\) term is \({21}\) and the last term is \({174}\). Identify the \({25}^{\text{th}}\) term.
 
(Hint: If \(a\) is the first term and \(d\) the common difference, then form two linear equations using the given terms and solve for \(a\) and \(d\).)
 
\( a = \) i
 
\( d = \) i
 
 \(a_{25}\) = i