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Finding the Fourth Proportional to 363.30, 544.80 and 119.76

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Solution

The fourth proportional to 363.30, 544.80 and 119.76 is: 179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 544.80 = 119.76 : x
  2. Step 2: Convert to fraction form
    363.30/544.80 = 119.76/x
  3. Step 3: Cross multiply
    363.30x = 544.80 × 119.76
  4. Step 4: Simplify right side
    363.30x = 65,245.25
  5. Step 5: Solve for x
    x = 65,245.25/363.30
  6. Step 6: Final answer
    x = 179.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.