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Finding the Fourth Proportional to 223.97, 334.24 and 199.67

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Solution

The fourth proportional to 223.97, 334.24 and 199.67 is: 297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.97 : 334.24 = 199.67 : x
  2. Step 2: Convert to fraction form
    223.97/334.24 = 199.67/x
  3. Step 3: Cross multiply
    223.97x = 334.24 × 199.67
  4. Step 4: Simplify right side
    223.97x = 66,737.70
  5. Step 5: Solve for x
    x = 66,737.70/223.97
  6. Step 6: Final answer
    x = 297.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.