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Finding the Fourth Proportional to 397.98, 596.97 and 137.97

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Solution

The fourth proportional to 397.98, 596.97 and 137.97 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 596.97 = 137.97 : x
  2. Step 2: Convert to fraction form
    397.98/596.97 = 137.97/x
  3. Step 3: Cross multiply
    397.98x = 596.97 × 137.97
  4. Step 4: Simplify right side
    397.98x = 82,363.95
  5. Step 5: Solve for x
    x = 82,363.95/397.98
  6. Step 6: Final answer
    x = 206.96

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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.