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Finding the Fourth Proportional to 411.05, 616.67 and 137.16

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Solution

The fourth proportional to 411.05, 616.67 and 137.16 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.05 : 616.67 = 137.16 : x
  2. Step 2: Convert to fraction form
    411.05/616.67 = 137.16/x
  3. Step 3: Cross multiply
    411.05x = 616.67 × 137.16
  4. Step 4: Simplify right side
    411.05x = 84,581.77
  5. Step 5: Solve for x
    x = 84,581.77/411.05
  6. Step 6: Final answer
    x = 205.77

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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.