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Finding the Fourth Proportional to 410.68, 616.14 and 122.12

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Solution

The fourth proportional to 410.68, 616.14 and 122.12 is: 183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.68 : 616.14 = 122.12 : x
  2. Step 2: Convert to fraction form
    410.68/616.14 = 122.12/x
  3. Step 3: Cross multiply
    410.68x = 616.14 × 122.12
  4. Step 4: Simplify right side
    410.68x = 75,243.02
  5. Step 5: Solve for x
    x = 75,243.02/410.68
  6. Step 6: Final answer
    x = 183.22

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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.