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Finding the Fourth Proportional to 411.25, 616.97 and 122.70

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Solution

The fourth proportional to 411.25, 616.97 and 122.70 is: 184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.25 : 616.97 = 122.70 : x
  2. Step 2: Convert to fraction form
    411.25/616.97 = 122.70/x
  3. Step 3: Cross multiply
    411.25x = 616.97 × 122.70
  4. Step 4: Simplify right side
    411.25x = 75,699.44
  5. Step 5: Solve for x
    x = 75,699.44/411.25
  6. Step 6: Final answer
    x = 184.07

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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.