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Finding the Fourth Proportional to 363.08, 544.31 and 180.60

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Solution

The fourth proportional to 363.08, 544.31 and 180.60 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.08 : 544.31 = 180.60 : x
  2. Step 2: Convert to fraction form
    363.08/544.31 = 180.60/x
  3. Step 3: Cross multiply
    363.08x = 544.31 × 180.60
  4. Step 4: Simplify right side
    363.08x = 98,300.80
  5. Step 5: Solve for x
    x = 98,300.80/363.08
  6. Step 6: Final answer
    x = 270.75

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Why These Related Problems?

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