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Finding the Fourth Proportional to 546.42, 819.54 and 161.76

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Solution

The fourth proportional to 546.42, 819.54 and 161.76 is: 242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.42 : 819.54 = 161.76 : x
  2. Step 2: Convert to fraction form
    546.42/819.54 = 161.76/x
  3. Step 3: Cross multiply
    546.42x = 819.54 × 161.76
  4. Step 4: Simplify right side
    546.42x = 132,568.79
  5. Step 5: Solve for x
    x = 132,568.79/546.42
  6. Step 6: Final answer
    x = 242.61

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