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Finding the Fourth Proportional to 411.80, 617.57 and 137.83

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Solution

The fourth proportional to 411.80, 617.57 and 137.83 is: 206.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.80 : 617.57 = 137.83 : x
  2. Step 2: Convert to fraction form
    411.80/617.57 = 137.83/x
  3. Step 3: Cross multiply
    411.80x = 617.57 × 137.83
  4. Step 4: Simplify right side
    411.80x = 85,119.89
  5. Step 5: Solve for x
    x = 85,119.89/411.80
  6. Step 6: Final answer
    x = 206.70

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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.