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Finding the Fourth Proportional to 546.78, 820.17 and 135.92

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Solution

The fourth proportional to 546.78, 820.17 and 135.92 is: 203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.78 : 820.17 = 135.92 : x
  2. Step 2: Convert to fraction form
    546.78/820.17 = 135.92/x
  3. Step 3: Cross multiply
    546.78x = 820.17 × 135.92
  4. Step 4: Simplify right side
    546.78x = 111,479.97
  5. Step 5: Solve for x
    x = 111,479.97/546.78
  6. Step 6: Final answer
    x = 203.88

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