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Finding the Fourth Proportional to 298.62, 447.12 and 221.13

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Solution

The fourth proportional to 298.62, 447.12 and 221.13 is: 331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.62 : 447.12 = 221.13 : x
  2. Step 2: Convert to fraction form
    298.62/447.12 = 221.13/x
  3. Step 3: Cross multiply
    298.62x = 447.12 × 221.13
  4. Step 4: Simplify right side
    298.62x = 98,871.65
  5. Step 5: Solve for x
    x = 98,871.65/298.62
  6. Step 6: Final answer
    x = 331.10

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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.