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Finding the Fourth Proportional to 224.95, 337.22 and 80.63

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Solution

The fourth proportional to 224.95, 337.22 and 80.63 is: 120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.95 : 337.22 = 80.63 : x
  2. Step 2: Convert to fraction form
    224.95/337.22 = 80.63/x
  3. Step 3: Cross multiply
    224.95x = 337.22 × 80.63
  4. Step 4: Simplify right side
    224.95x = 27,189.65
  5. Step 5: Solve for x
    x = 27,189.65/224.95
  6. Step 6: Final answer
    x = 120.87

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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.