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Finding the Fourth Proportional to 298.60, 447.84 and 82.13

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Solution

The fourth proportional to 298.60, 447.84 and 82.13 is: 123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.60 : 447.84 = 82.13 : x
  2. Step 2: Convert to fraction form
    298.60/447.84 = 82.13/x
  3. Step 3: Cross multiply
    298.60x = 447.84 × 82.13
  4. Step 4: Simplify right side
    298.60x = 36,778.86
  5. Step 5: Solve for x
    x = 36,778.86/298.60
  6. Step 6: Final answer
    x = 123.17

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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.