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Finding the Fourth Proportional to 411, 616.50 and 137.13

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Solution

The fourth proportional to 411, 616.50 and 137.13 is: 205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 616.50 = 137.13 : x
  2. Step 2: Convert to fraction form
    411/616.50 = 137.13/x
  3. Step 3: Cross multiply
    411x = 616.50 × 137.13
  4. Step 4: Simplify right side
    411x = 84,540.65
  5. Step 5: Solve for x
    x = 84,540.65/411
  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.