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Finding the Fourth Proportional to 223.62, 334.90 and 198.88

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Solution

The fourth proportional to 223.62, 334.90 and 198.88 is: 297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.62 : 334.90 = 198.88 : x
  2. Step 2: Convert to fraction form
    223.62/334.90 = 198.88/x
  3. Step 3: Cross multiply
    223.62x = 334.90 × 198.88
  4. Step 4: Simplify right side
    223.62x = 66,604.91
  5. Step 5: Solve for x
    x = 66,604.91/223.62
  6. Step 6: Final answer
    x = 297.85

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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.