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Finding the Fourth Proportional to 410.83, 616.37 and 137.12

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Solution

The fourth proportional to 410.83, 616.37 and 137.12 is: 205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.83 : 616.37 = 137.12 : x
  2. Step 2: Convert to fraction form
    410.83/616.37 = 137.12/x
  3. Step 3: Cross multiply
    410.83x = 616.37 × 137.12
  4. Step 4: Simplify right side
    410.83x = 84,512.89
  5. Step 5: Solve for x
    x = 84,512.89/410.83
  6. Step 6: Final answer
    x = 205.71

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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.