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Finding the Fourth Proportional to 546.07, 819.10 and 180.83

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Solution

The fourth proportional to 546.07, 819.10 and 180.83 is: 271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.07 : 819.10 = 180.83 : x
  2. Step 2: Convert to fraction form
    546.07/819.10 = 180.83/x
  3. Step 3: Cross multiply
    546.07x = 819.10 × 180.83
  4. Step 4: Simplify right side
    546.07x = 148,114.69
  5. Step 5: Solve for x
    x = 148,114.69/546.07
  6. Step 6: Final answer
    x = 271.24

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