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Finding the Fourth Proportional to 411.26, 616.77 and 137.41

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Solution

The fourth proportional to 411.26, 616.77 and 137.41 is: 206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.26 : 616.77 = 137.41 : x
  2. Step 2: Convert to fraction form
    411.26/616.77 = 137.41/x
  3. Step 3: Cross multiply
    411.26x = 616.77 × 137.41
  4. Step 4: Simplify right side
    411.26x = 84,748.82
  5. Step 5: Solve for x
    x = 84,748.82/411.26
  6. Step 6: Final answer
    x = 206.07

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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.