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Finding the Fourth Proportional to 224.69, 337.01 and 78.41

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Solution

The fourth proportional to 224.69, 337.01 and 78.41 is: 117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.69 : 337.01 = 78.41 : x
  2. Step 2: Convert to fraction form
    224.69/337.01 = 78.41/x
  3. Step 3: Cross multiply
    224.69x = 337.01 × 78.41
  4. Step 4: Simplify right side
    224.69x = 26,425.40
  5. Step 5: Solve for x
    x = 26,425.40/224.69
  6. Step 6: Final answer
    x = 117.61

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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.