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Finding the Fourth Proportional to 224.18, 335.39 and 198.21

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Solution

The fourth proportional to 224.18, 335.39 and 198.21 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.18 : 335.39 = 198.21 : x
  2. Step 2: Convert to fraction form
    224.18/335.39 = 198.21/x
  3. Step 3: Cross multiply
    224.18x = 335.39 × 198.21
  4. Step 4: Simplify right side
    224.18x = 66,475.73
  5. Step 5: Solve for x
    x = 66,475.73/224.18
  6. Step 6: Final answer
    x = 296.53

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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.