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Finding the Fourth Proportional to 224.78, 337.16 and 103.07

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Solution

The fourth proportional to 224.78, 337.16 and 103.07 is: 154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.78 : 337.16 = 103.07 : x
  2. Step 2: Convert to fraction form
    224.78/337.16 = 103.07/x
  3. Step 3: Cross multiply
    224.78x = 337.16 × 103.07
  4. Step 4: Simplify right side
    224.78x = 34,752.18
  5. Step 5: Solve for x
    x = 34,752.18/224.78
  6. Step 6: Final answer
    x = 154.61

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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.