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Finding the Fourth Proportional to 298.31, 447.46 and 81.89

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Solution

The fourth proportional to 298.31, 447.46 and 81.89 is: 122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.31 : 447.46 = 81.89 : x
  2. Step 2: Convert to fraction form
    298.31/447.46 = 81.89/x
  3. Step 3: Cross multiply
    298.31x = 447.46 × 81.89
  4. Step 4: Simplify right side
    298.31x = 36,641.74
  5. Step 5: Solve for x
    x = 36,641.74/298.31
  6. Step 6: Final answer
    x = 122.83

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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.