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Finding the Fourth Proportional to 224.39, 337.20 and 196.18

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Solution

The fourth proportional to 224.39, 337.20 and 196.18 is: 294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.39 : 337.20 = 196.18 : x
  2. Step 2: Convert to fraction form
    224.39/337.20 = 196.18/x
  3. Step 3: Cross multiply
    224.39x = 337.20 × 196.18
  4. Step 4: Simplify right side
    224.39x = 66,151.05
  5. Step 5: Solve for x
    x = 66,151.05/224.39
  6. Step 6: Final answer
    x = 294.80

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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.