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Finding the Fourth Proportional to 411.25, 616.34 and 167.65

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Solution

The fourth proportional to 411.25, 616.34 and 167.65 is: 251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.25 : 616.34 = 167.65 : x
  2. Step 2: Convert to fraction form
    411.25/616.34 = 167.65/x
  3. Step 3: Cross multiply
    411.25x = 616.34 × 167.65
  4. Step 4: Simplify right side
    411.25x = 103,326.32
  5. Step 5: Solve for x
    x = 103,326.32/411.25
  6. Step 6: Final answer
    x = 251.25

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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.