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Finding the Fourth Proportional to 410.93, 616 and 136.83

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Solution

The fourth proportional to 410.93, 616 and 136.83 is: 205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.93 : 616 = 136.83 : x
  2. Step 2: Convert to fraction form
    410.93/616 = 136.83/x
  3. Step 3: Cross multiply
    410.93x = 616 × 136.83
  4. Step 4: Simplify right side
    410.93x = 84,287.28
  5. Step 5: Solve for x
    x = 84,287.28/410.93
  6. Step 6: Final answer
    x = 205.11

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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.