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Finding the Fourth Proportional to 410.74, 616.09 and 167.25

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Solution

The fourth proportional to 410.74, 616.09 and 167.25 is: 250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.74 : 616.09 = 167.25 : x
  2. Step 2: Convert to fraction form
    410.74/616.09 = 167.25/x
  3. Step 3: Cross multiply
    410.74x = 616.09 × 167.25
  4. Step 4: Simplify right side
    410.74x = 103,041.05
  5. Step 5: Solve for x
    x = 103,041.05/410.74
  6. Step 6: Final answer
    x = 250.87

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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.