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Finding the Fourth Proportional to 542.63, 814.05 and 177.32

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Solution

The fourth proportional to 542.63, 814.05 and 177.32 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.63 : 814.05 = 177.32 : x
  2. Step 2: Convert to fraction form
    542.63/814.05 = 177.32/x
  3. Step 3: Cross multiply
    542.63x = 814.05 × 177.32
  4. Step 4: Simplify right side
    542.63x = 144,347.35
  5. Step 5: Solve for x
    x = 144,347.35/542.63
  6. Step 6: Final answer
    x = 266.01

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