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Finding the Fourth Proportional to 411.19, 616.71 and 167.65

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Solution

The fourth proportional to 411.19, 616.71 and 167.65 is: 251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.19 : 616.71 = 167.65 : x
  2. Step 2: Convert to fraction form
    411.19/616.71 = 167.65/x
  3. Step 3: Cross multiply
    411.19x = 616.71 × 167.65
  4. Step 4: Simplify right side
    411.19x = 103,391.43
  5. Step 5: Solve for x
    x = 103,391.43/411.19
  6. Step 6: Final answer
    x = 251.44

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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.