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Finding the Fourth Proportional to 546.86, 820.17 and 181.55

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Solution

The fourth proportional to 546.86, 820.17 and 181.55 is: 272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.86 : 820.17 = 181.55 : x
  2. Step 2: Convert to fraction form
    546.86/820.17 = 181.55/x
  3. Step 3: Cross multiply
    546.86x = 820.17 × 181.55
  4. Step 4: Simplify right side
    546.86x = 148,901.86
  5. Step 5: Solve for x
    x = 148,901.86/546.86
  6. Step 6: Final answer
    x = 272.29

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