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Finding the Fourth Proportional to 263.22, 363.18 and 180.48

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Solution

The fourth proportional to 263.22, 363.18 and 180.48 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.22 : 363.18 = 180.48 : x
  2. Step 2: Convert to fraction form
    263.22/363.18 = 180.48/x
  3. Step 3: Cross multiply
    263.22x = 363.18 × 180.48
  4. Step 4: Simplify right side
    263.22x = 65,546.73
  5. Step 5: Solve for x
    x = 65,546.73/263.22
  6. Step 6: Final answer
    x = 249.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.