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Finding the Fourth Proportional to 363.80, 502.06 and 198.03

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Solution

The fourth proportional to 363.80, 502.06 and 198.03 is: 273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 502.06 = 198.03 : x
  2. Step 2: Convert to fraction form
    363.80/502.06 = 198.03/x
  3. Step 3: Cross multiply
    363.80x = 502.06 × 198.03
  4. Step 4: Simplify right side
    363.80x = 99,424.27
  5. Step 5: Solve for x
    x = 99,424.27/363.80
  6. Step 6: Final answer
    x = 273.29

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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.