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Finding the Fourth Proportional to 397.99, 596.82 and 137.92

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Solution

The fourth proportional to 397.99, 596.82 and 137.92 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.99 : 596.82 = 137.92 : x
  2. Step 2: Convert to fraction form
    397.99/596.82 = 137.92/x
  3. Step 3: Cross multiply
    397.99x = 596.82 × 137.92
  4. Step 4: Simplify right side
    397.99x = 82,313.41
  5. Step 5: Solve for x
    x = 82,313.41/397.99
  6. Step 6: Final answer
    x = 206.82

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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.