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Finding the Fourth Proportional to 411.03, 616.46 and 137.12

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Solution

The fourth proportional to 411.03, 616.46 and 137.12 is: 205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.03 : 616.46 = 137.12 : x
  2. Step 2: Convert to fraction form
    411.03/616.46 = 137.12/x
  3. Step 3: Cross multiply
    411.03x = 616.46 × 137.12
  4. Step 4: Simplify right side
    411.03x = 84,525.23
  5. Step 5: Solve for x
    x = 84,525.23/411.03
  6. Step 6: Final answer
    x = 205.64

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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.