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Finding the Fourth Proportional to 411.21, 616.86 and 137.21

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Solution

The fourth proportional to 411.21, 616.86 and 137.21 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.21 : 616.86 = 137.21 : x
  2. Step 2: Convert to fraction form
    411.21/616.86 = 137.21/x
  3. Step 3: Cross multiply
    411.21x = 616.86 × 137.21
  4. Step 4: Simplify right side
    411.21x = 84,636.28
  5. Step 5: Solve for x
    x = 84,636.28/411.21
  6. Step 6: Final answer
    x = 205.82

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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.