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Finding the Fourth Proportional to 542.16, 813.24 and 176.95

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Solution

The fourth proportional to 542.16, 813.24 and 176.95 is: 265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 813.24 = 176.95 : x
  2. Step 2: Convert to fraction form
    542.16/813.24 = 176.95/x
  3. Step 3: Cross multiply
    542.16x = 813.24 × 176.95
  4. Step 4: Simplify right side
    542.16x = 143,902.82
  5. Step 5: Solve for x
    x = 143,902.82/542.16
  6. Step 6: Final answer
    x = 265.43

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