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Finding the Fourth Proportional to 546.95, 820.46 and 181.73

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Solution

The fourth proportional to 546.95, 820.46 and 181.73 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 820.46 = 181.73 : x
  2. Step 2: Convert to fraction form
    546.95/820.46 = 181.73/x
  3. Step 3: Cross multiply
    546.95x = 820.46 × 181.73
  4. Step 4: Simplify right side
    546.95x = 149,104.70
  5. Step 5: Solve for x
    x = 149,104.70/546.95
  6. Step 6: Final answer
    x = 272.61

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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.