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Finding the Fourth Proportional to 546.57, 819.85 and 161.82

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Solution

The fourth proportional to 546.57, 819.85 and 161.82 is: 242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.57 : 819.85 = 161.82 : x
  2. Step 2: Convert to fraction form
    546.57/819.85 = 161.82/x
  3. Step 3: Cross multiply
    546.57x = 819.85 × 161.82
  4. Step 4: Simplify right side
    546.57x = 132,668.13
  5. Step 5: Solve for x
    x = 132,668.13/546.57
  6. Step 6: Final answer
    x = 242.73

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