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Finding the Fourth Proportional to 363.06, 500.91 and 223.25

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Solution

The fourth proportional to 363.06, 500.91 and 223.25 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.06 : 500.91 = 223.25 : x
  2. Step 2: Convert to fraction form
    363.06/500.91 = 223.25/x
  3. Step 3: Cross multiply
    363.06x = 500.91 × 223.25
  4. Step 4: Simplify right side
    363.06x = 111,825.65
  5. Step 5: Solve for x
    x = 111,825.65/363.06
  6. Step 6: Final answer
    x = 308.01

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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.