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Finding the Fourth Proportional to 297.98, 410.85 and 199.70

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Solution

The fourth proportional to 297.98, 410.85 and 199.70 is: 275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.98 : 410.85 = 199.70 : x
  2. Step 2: Convert to fraction form
    297.98/410.85 = 199.70/x
  3. Step 3: Cross multiply
    297.98x = 410.85 × 199.70
  4. Step 4: Simplify right side
    297.98x = 82,046.75
  5. Step 5: Solve for x
    x = 82,046.75/297.98
  6. Step 6: Final answer
    x = 275.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.