What is the fourth proportional to 189, 273 and 153?
221
The fourth proportional \(x\) satisfies \(189:273::153:x\), i.e.
\[x=\frac{273\times 153}{189}\]
Since \(189=27\times 7\), \(273=3\times 7\times 13\), \(153=9\times 17\), the \(27\times 7\) cancels leaving \(x=13\times 17=221\).
Therefore the fourth proportional is 221.
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