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Finding the Fourth Proportional to 410.82, 616.41 and 136.95

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Solution

The fourth proportional to 410.82, 616.41 and 136.95 is: 205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 616.41 = 136.95 : x
  2. Step 2: Convert to fraction form
    410.82/616.41 = 136.95/x
  3. Step 3: Cross multiply
    410.82x = 616.41 × 136.95
  4. Step 4: Simplify right side
    410.82x = 84,417.35
  5. Step 5: Solve for x
    x = 84,417.35/410.82
  6. Step 6: Final answer
    x = 205.49

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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.