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Finding the Fourth Proportional to 398.14, 596.76 and 137.91

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Solution

The fourth proportional to 398.14, 596.76 and 137.91 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.14 : 596.76 = 137.91 : x
  2. Step 2: Convert to fraction form
    398.14/596.76 = 137.91/x
  3. Step 3: Cross multiply
    398.14x = 596.76 × 137.91
  4. Step 4: Simplify right side
    398.14x = 82,299.17
  5. Step 5: Solve for x
    x = 82,299.17/398.14
  6. Step 6: Final answer
    x = 206.71

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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.