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Finding the Fourth Proportional to 546.66, 819.90 and 161.88

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Solution

The fourth proportional to 546.66, 819.90 and 161.88 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 819.90 = 161.88 : x
  2. Step 2: Convert to fraction form
    546.66/819.90 = 161.88/x
  3. Step 3: Cross multiply
    546.66x = 819.90 × 161.88
  4. Step 4: Simplify right side
    546.66x = 132,725.41
  5. Step 5: Solve for x
    x = 132,725.41/546.66
  6. Step 6: Final answer
    x = 242.79

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