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Finding the Fourth Proportional to 410.49, 616.08 and 167.19

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Solution

The fourth proportional to 410.49, 616.08 and 167.19 is: 250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 616.08 = 167.19 : x
  2. Step 2: Convert to fraction form
    410.49/616.08 = 167.19/x
  3. Step 3: Cross multiply
    410.49x = 616.08 × 167.19
  4. Step 4: Simplify right side
    410.49x = 103,002.42
  5. Step 5: Solve for x
    x = 103,002.42/410.49
  6. Step 6: Final answer
    x = 250.93

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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.