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Finding the Fourth Proportional to 363.24, 544.36 and 180.40

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Solution

The fourth proportional to 363.24, 544.36 and 180.40 is: 270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.24 : 544.36 = 180.40 : x
  2. Step 2: Convert to fraction form
    363.24/544.36 = 180.40/x
  3. Step 3: Cross multiply
    363.24x = 544.36 × 180.40
  4. Step 4: Simplify right side
    363.24x = 98,202.54
  5. Step 5: Solve for x
    x = 98,202.54/363.24
  6. Step 6: Final answer
    x = 270.35

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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.