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Finding the Fourth Proportional to 411.40, 617.46 and 168.04

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Solution

The fourth proportional to 411.40, 617.46 and 168.04 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.40 : 617.46 = 168.04 : x
  2. Step 2: Convert to fraction form
    411.40/617.46 = 168.04/x
  3. Step 3: Cross multiply
    411.40x = 617.46 × 168.04
  4. Step 4: Simplify right side
    411.40x = 103,757.98
  5. Step 5: Solve for x
    x = 103,757.98/411.40
  6. Step 6: Final answer
    x = 252.21

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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.