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Finding the Fourth Proportional to 411.05, 616.51 and 137.10

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Solution

The fourth proportional to 411.05, 616.51 and 137.10 is: 205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.05 : 616.51 = 137.10 : x
  2. Step 2: Convert to fraction form
    411.05/616.51 = 137.10/x
  3. Step 3: Cross multiply
    411.05x = 616.51 × 137.10
  4. Step 4: Simplify right side
    411.05x = 84,523.52
  5. Step 5: Solve for x
    x = 84,523.52/411.05
  6. Step 6: Final answer
    x = 205.63

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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.