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Finding the Fourth Proportional to 363.09, 500.87 and 223.16

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Solution

The fourth proportional to 363.09, 500.87 and 223.16 is: 307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.09 : 500.87 = 223.16 : x
  2. Step 2: Convert to fraction form
    363.09/500.87 = 223.16/x
  3. Step 3: Cross multiply
    363.09x = 500.87 × 223.16
  4. Step 4: Simplify right side
    363.09x = 111,775.96
  5. Step 5: Solve for x
    x = 111,775.96/363.09
  6. Step 6: Final answer
    x = 307.85

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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.