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Finding the Fourth Proportional to 363.73, 502.02 and 206.36

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Solution

The fourth proportional to 363.73, 502.02 and 206.36 is: 284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.73 : 502.02 = 206.36 : x
  2. Step 2: Convert to fraction form
    363.73/502.02 = 206.36/x
  3. Step 3: Cross multiply
    363.73x = 502.02 × 206.36
  4. Step 4: Simplify right side
    363.73x = 103,596.85
  5. Step 5: Solve for x
    x = 103,596.85/363.73
  6. Step 6: Final answer
    x = 284.82

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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.