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Finding the Fourth Proportional to 298.61, 447.91 and 82.18

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Solution

The fourth proportional to 298.61, 447.91 and 82.18 is: 123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.61 : 447.91 = 82.18 : x
  2. Step 2: Convert to fraction form
    298.61/447.91 = 82.18/x
  3. Step 3: Cross multiply
    298.61x = 447.91 × 82.18
  4. Step 4: Simplify right side
    298.61x = 36,809.24
  5. Step 5: Solve for x
    x = 36,809.24/298.61
  6. Step 6: Final answer
    x = 123.27

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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.