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Finding the Fourth Proportional to 362.87, 544.54 and 180.42

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Solution

The fourth proportional to 362.87, 544.54 and 180.42 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.87 : 544.54 = 180.42 : x
  2. Step 2: Convert to fraction form
    362.87/544.54 = 180.42/x
  3. Step 3: Cross multiply
    362.87x = 544.54 × 180.42
  4. Step 4: Simplify right side
    362.87x = 98,245.91
  5. Step 5: Solve for x
    x = 98,245.91/362.87
  6. Step 6: Final answer
    x = 270.75

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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.