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Finding the Fourth Proportional to 228.38, 343.11 and 224.78

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Solution

The fourth proportional to 228.38, 343.11 and 224.78 is: 337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.38 : 343.11 = 224.78 : x
  2. Step 2: Convert to fraction form
    228.38/343.11 = 224.78/x
  3. Step 3: Cross multiply
    228.38x = 343.11 × 224.78
  4. Step 4: Simplify right side
    228.38x = 77,124.27
  5. Step 5: Solve for x
    x = 77,124.27/228.38
  6. Step 6: Final answer
    x = 337.70

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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.