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Finding the Fourth Proportional to 381.20, 571.86 and 137.82

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Solution

The fourth proportional to 381.20, 571.86 and 137.82 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.20 : 571.86 = 137.82 : x
  2. Step 2: Convert to fraction form
    381.20/571.86 = 137.82/x
  3. Step 3: Cross multiply
    381.20x = 571.86 × 137.82
  4. Step 4: Simplify right side
    381.20x = 78,813.75
  5. Step 5: Solve for x
    x = 78,813.75/381.20
  6. Step 6: Final answer
    x = 206.75

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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.