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Finding the Fourth Proportional to 231.46, 348.10 and 224.17

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Solution

The fourth proportional to 231.46, 348.10 and 224.17 is: 337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.46 : 348.10 = 224.17 : x
  2. Step 2: Convert to fraction form
    231.46/348.10 = 224.17/x
  3. Step 3: Cross multiply
    231.46x = 348.10 × 224.17
  4. Step 4: Simplify right side
    231.46x = 78,032.15
  5. Step 5: Solve for x
    x = 78,032.15/231.46
  6. Step 6: Final answer
    x = 337.13

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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.