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Finding the Fourth Proportional to 542.52, 813.76 and 157.76

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Solution

The fourth proportional to 542.52, 813.76 and 157.76 is: 236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.52 : 813.76 = 157.76 : x
  2. Step 2: Convert to fraction form
    542.52/813.76 = 157.76/x
  3. Step 3: Cross multiply
    542.52x = 813.76 × 157.76
  4. Step 4: Simplify right side
    542.52x = 128,378.78
  5. Step 5: Solve for x
    x = 128,378.78/542.52
  6. Step 6: Final answer
    x = 236.63

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