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Finding the Fourth Proportional to 363.19, 544.39 and 180.72

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Solution

The fourth proportional to 363.19, 544.39 and 180.72 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.19 : 544.39 = 180.72 : x
  2. Step 2: Convert to fraction form
    363.19/544.39 = 180.72/x
  3. Step 3: Cross multiply
    363.19x = 544.39 × 180.72
  4. Step 4: Simplify right side
    363.19x = 98,382.16
  5. Step 5: Solve for x
    x = 98,382.16/363.19
  6. Step 6: Final answer
    x = 270.88

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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.