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Finding the Fourth Proportional to 363.67, 501.95 and 223.86

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Solution

The fourth proportional to 363.67, 501.95 and 223.86 is: 308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.67 : 501.95 = 223.86 : x
  2. Step 2: Convert to fraction form
    363.67/501.95 = 223.86/x
  3. Step 3: Cross multiply
    363.67x = 501.95 × 223.86
  4. Step 4: Simplify right side
    363.67x = 112,366.53
  5. Step 5: Solve for x
    x = 112,366.53/363.67
  6. Step 6: Final answer
    x = 308.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.