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Finding the Fourth Proportional to 363.20, 501.50 and 223.38

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Solution

The fourth proportional to 363.20, 501.50 and 223.38 is: 308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.20 : 501.50 = 223.38 : x
  2. Step 2: Convert to fraction form
    363.20/501.50 = 223.38/x
  3. Step 3: Cross multiply
    363.20x = 501.50 × 223.38
  4. Step 4: Simplify right side
    363.20x = 112,026.41
  5. Step 5: Solve for x
    x = 112,026.41/363.20
  6. Step 6: Final answer
    x = 308.44

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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.