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Finding the Fourth Proportional to 411.24, 616.65 and 137.23

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Solution

The fourth proportional to 411.24, 616.65 and 137.23 is: 205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.24 : 616.65 = 137.23 : x
  2. Step 2: Convert to fraction form
    411.24/616.65 = 137.23/x
  3. Step 3: Cross multiply
    411.24x = 616.65 × 137.23
  4. Step 4: Simplify right side
    411.24x = 84,622.88
  5. Step 5: Solve for x
    x = 84,622.88/411.24
  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.