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Finding the Fourth Proportional to 546.08, 819.16 and 175.92

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Solution

The fourth proportional to 546.08, 819.16 and 175.92 is: 263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 819.16 = 175.92 : x
  2. Step 2: Convert to fraction form
    546.08/819.16 = 175.92/x
  3. Step 3: Cross multiply
    546.08x = 819.16 × 175.92
  4. Step 4: Simplify right side
    546.08x = 144,103.12
  5. Step 5: Solve for x
    x = 144,103.12/546.08
  6. Step 6: Final answer
    x = 263.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.