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Finding the Fourth Proportional to 546.42, 819.71 and 181.13

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Solution

The fourth proportional to 546.42, 819.71 and 181.13 is: 271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.42 : 819.71 = 181.13 : x
  2. Step 2: Convert to fraction form
    546.42/819.71 = 181.13/x
  3. Step 3: Cross multiply
    546.42x = 819.71 × 181.13
  4. Step 4: Simplify right side
    546.42x = 148,470.43
  5. Step 5: Solve for x
    x = 148,470.43/546.42
  6. Step 6: Final answer
    x = 271.71

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