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Finding the Fourth Proportional to 165.31, 248 and 77.43

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Solution

The fourth proportional to 165.31, 248 and 77.43 is: 116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.31 : 248 = 77.43 : x
  2. Step 2: Convert to fraction form
    165.31/248 = 77.43/x
  3. Step 3: Cross multiply
    165.31x = 248 × 77.43
  4. Step 4: Simplify right side
    165.31x = 19,202.64
  5. Step 5: Solve for x
    x = 19,202.64/165.31
  6. Step 6: Final answer
    x = 116.16

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