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Finding the Fourth Proportional to 398.13, 596.97 and 137.98

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Solution

The fourth proportional to 398.13, 596.97 and 137.98 is: 206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.13 : 596.97 = 137.98 : x
  2. Step 2: Convert to fraction form
    398.13/596.97 = 137.98/x
  3. Step 3: Cross multiply
    398.13x = 596.97 × 137.98
  4. Step 4: Simplify right side
    398.13x = 82,369.92
  5. Step 5: Solve for x
    x = 82,369.92/398.13
  6. Step 6: Final answer
    x = 206.89

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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.