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Finding the Fourth Proportional to 224.62, 337.31 and 213.07

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Solution

The fourth proportional to 224.62, 337.31 and 213.07 is: 319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.62 : 337.31 = 213.07 : x
  2. Step 2: Convert to fraction form
    224.62/337.31 = 213.07/x
  3. Step 3: Cross multiply
    224.62x = 337.31 × 213.07
  4. Step 4: Simplify right side
    224.62x = 71,870.64
  5. Step 5: Solve for x
    x = 71,870.64/224.62
  6. Step 6: Final answer
    x = 319.97

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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.