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Finding the Fourth Proportional to 363.67, 501.81 and 223.75

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Solution

The fourth proportional to 363.67, 501.81 and 223.75 is: 308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.67 : 501.81 = 223.75 : x
  2. Step 2: Convert to fraction form
    363.67/501.81 = 223.75/x
  3. Step 3: Cross multiply
    363.67x = 501.81 × 223.75
  4. Step 4: Simplify right side
    363.67x = 112,279.99
  5. Step 5: Solve for x
    x = 112,279.99/363.67
  6. Step 6: Final answer
    x = 308.74

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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.