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Finding the Fourth Proportional to 411.46, 617.40 and 168.20

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Solution

The fourth proportional to 411.46, 617.40 and 168.20 is: 252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.46 : 617.40 = 168.20 : x
  2. Step 2: Convert to fraction form
    411.46/617.40 = 168.20/x
  3. Step 3: Cross multiply
    411.46x = 617.40 × 168.20
  4. Step 4: Simplify right side
    411.46x = 103,846.68
  5. Step 5: Solve for x
    x = 103,846.68/411.46
  6. Step 6: Final answer
    x = 252.39

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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.