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Finding the Fourth Proportional to 546.14, 819.23 and 180.92

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Solution

The fourth proportional to 546.14, 819.23 and 180.92 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.14 : 819.23 = 180.92 : x
  2. Step 2: Convert to fraction form
    546.14/819.23 = 180.92/x
  3. Step 3: Cross multiply
    546.14x = 819.23 × 180.92
  4. Step 4: Simplify right side
    546.14x = 148,215.09
  5. Step 5: Solve for x
    x = 148,215.09/546.14
  6. Step 6: Final answer
    x = 271.39

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