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Finding the Fourth Proportional to 263.46, 363.47 and 180.62

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Solution

The fourth proportional to 263.46, 363.47 and 180.62 is: 249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.46 : 363.47 = 180.62 : x
  2. Step 2: Convert to fraction form
    263.46/363.47 = 180.62/x
  3. Step 3: Cross multiply
    263.46x = 363.47 × 180.62
  4. Step 4: Simplify right side
    263.46x = 65,649.95
  5. Step 5: Solve for x
    x = 65,649.95/263.46
  6. Step 6: Final answer
    x = 249.18

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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.