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Finding the Fourth Proportional to 224.96, 338.05 and 133.67

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Solution

The fourth proportional to 224.96, 338.05 and 133.67 is: 200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 338.05 = 133.67 : x
  2. Step 2: Convert to fraction form
    224.96/338.05 = 133.67/x
  3. Step 3: Cross multiply
    224.96x = 338.05 × 133.67
  4. Step 4: Simplify right side
    224.96x = 45,188.16
  5. Step 5: Solve for x
    x = 45,188.16/224.96
  6. Step 6: Final answer
    x = 200.88

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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.