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Finding the Fourth Proportional to 363.56, 544.62 and 180.73

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Solution

The fourth proportional to 363.56, 544.62 and 180.73 is: 270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.56 : 544.62 = 180.73 : x
  2. Step 2: Convert to fraction form
    363.56/544.62 = 180.73/x
  3. Step 3: Cross multiply
    363.56x = 544.62 × 180.73
  4. Step 4: Simplify right side
    363.56x = 98,430.53
  5. Step 5: Solve for x
    x = 98,430.53/363.56
  6. Step 6: Final answer
    x = 270.74

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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.