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Finding the Fourth Proportional to 363.97, 502.22 and 206.56

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Solution

The fourth proportional to 363.97, 502.22 and 206.56 is: 285.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.97 : 502.22 = 206.56 : x
  2. Step 2: Convert to fraction form
    363.97/502.22 = 206.56/x
  3. Step 3: Cross multiply
    363.97x = 502.22 × 206.56
  4. Step 4: Simplify right side
    363.97x = 103,738.56
  5. Step 5: Solve for x
    x = 103,738.56/363.97
  6. Step 6: Final answer
    x = 285.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.