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Finding the Fourth Proportional to 337.78, 466.14 and 224.20

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Solution

The fourth proportional to 337.78, 466.14 and 224.20 is: 309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.78 : 466.14 = 224.20 : x
  2. Step 2: Convert to fraction form
    337.78/466.14 = 224.20/x
  3. Step 3: Cross multiply
    337.78x = 466.14 × 224.20
  4. Step 4: Simplify right side
    337.78x = 104,508.59
  5. Step 5: Solve for x
    x = 104,508.59/337.78
  6. Step 6: Final answer
    x = 309.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.