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Finding the Fourth Proportional to 652.52, 978.82 and 165.58

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Solution

The fourth proportional to 652.52, 978.82 and 165.58 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 978.82 = 165.58 : x
  2. Step 2: Convert to fraction form
    652.52/978.82 = 165.58/x
  3. Step 3: Cross multiply
    652.52x = 978.82 × 165.58
  4. Step 4: Simplify right side
    652.52x = 162,070.15
  5. Step 5: Solve for x
    x = 162,070.15/652.52
  6. Step 6: Final answer
    x = 248.37

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