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Finding the Fourth Proportional to 363.78, 501.76 and 223.80

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Solution

The fourth proportional to 363.78, 501.76 and 223.80 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.78 : 501.76 = 223.80 : x
  2. Step 2: Convert to fraction form
    363.78/501.76 = 223.80/x
  3. Step 3: Cross multiply
    363.78x = 501.76 × 223.80
  4. Step 4: Simplify right side
    363.78x = 112,293.89
  5. Step 5: Solve for x
    x = 112,293.89/363.78
  6. Step 6: Final answer
    x = 308.69

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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.