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Finding the Fourth Proportional to 363.78, 502.09 and 206.48

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Solution

The fourth proportional to 363.78, 502.09 and 206.48 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 502.09 = 206.48 : x
  2. Step 2: Convert to fraction form
    363.78/502.09 = 206.48/x
  3. Step 3: Cross multiply
    363.78x = 502.09 × 206.48
  4. Step 4: Simplify right side
    363.78x = 103,672.28
  5. Step 5: Solve for x
    x = 103,672.28/363.78
  6. Step 6: Final answer
    x = 284.99

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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.