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Finding the Fourth Proportional to 410.75, 616.15 and 122.19

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Solution

The fourth proportional to 410.75, 616.15 and 122.19 is: 183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 616.15 = 122.19 : x
  2. Step 2: Convert to fraction form
    410.75/616.15 = 122.19/x
  3. Step 3: Cross multiply
    410.75x = 616.15 × 122.19
  4. Step 4: Simplify right side
    410.75x = 75,286.76
  5. Step 5: Solve for x
    x = 75,286.76/410.75
  6. Step 6: Final answer
    x = 183.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.