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Finding the Fourth Proportional to 224.85, 337.06 and 133.72

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Solution

The fourth proportional to 224.85, 337.06 and 133.72 is: 200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.85 : 337.06 = 133.72 : x
  2. Step 2: Convert to fraction form
    224.85/337.06 = 133.72/x
  3. Step 3: Cross multiply
    224.85x = 337.06 × 133.72
  4. Step 4: Simplify right side
    224.85x = 45,071.66
  5. Step 5: Solve for x
    x = 45,071.66/224.85
  6. Step 6: Final answer
    x = 200.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.