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Finding the Fourth Proportional to 411.92, 617.49 and 137.87

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Solution

The fourth proportional to 411.92, 617.49 and 137.87 is: 206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.92 : 617.49 = 137.87 : x
  2. Step 2: Convert to fraction form
    411.92/617.49 = 137.87/x
  3. Step 3: Cross multiply
    411.92x = 617.49 × 137.87
  4. Step 4: Simplify right side
    411.92x = 85,132.57
  5. Step 5: Solve for x
    x = 85,132.57/411.92
  6. Step 6: Final answer
    x = 206.67

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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.