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Finding the Fourth Proportional to 234.38, 349.49 and 217.64

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Solution

The fourth proportional to 234.38, 349.49 and 217.64 is: 324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.38 : 349.49 = 217.64 : x
  2. Step 2: Convert to fraction form
    234.38/349.49 = 217.64/x
  3. Step 3: Cross multiply
    234.38x = 349.49 × 217.64
  4. Step 4: Simplify right side
    234.38x = 76,061.80
  5. Step 5: Solve for x
    x = 76,061.80/234.38
  6. Step 6: Final answer
    x = 324.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.