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Finding the Fourth Proportional to 411.09, 616.62 and 137.14

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Solution

The fourth proportional to 411.09, 616.62 and 137.14 is: 205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.09 : 616.62 = 137.14 : x
  2. Step 2: Convert to fraction form
    411.09/616.62 = 137.14/x
  3. Step 3: Cross multiply
    411.09x = 616.62 × 137.14
  4. Step 4: Simplify right side
    411.09x = 84,563.27
  5. Step 5: Solve for x
    x = 84,563.27/411.09
  6. Step 6: Final answer
    x = 205.70

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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.