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Finding the Fourth Proportional to 411.51, 616.89 and 168.24

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Solution

The fourth proportional to 411.51, 616.89 and 168.24 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.51 : 616.89 = 168.24 : x
  2. Step 2: Convert to fraction form
    411.51/616.89 = 168.24/x
  3. Step 3: Cross multiply
    411.51x = 616.89 × 168.24
  4. Step 4: Simplify right side
    411.51x = 103,785.57
  5. Step 5: Solve for x
    x = 103,785.57/411.51
  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.