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Finding the Fourth Proportional to 263.27, 363.05 and 180.38

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Solution

The fourth proportional to 263.27, 363.05 and 180.38 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.27 : 363.05 = 180.38 : x
  2. Step 2: Convert to fraction form
    263.27/363.05 = 180.38/x
  3. Step 3: Cross multiply
    263.27x = 363.05 × 180.38
  4. Step 4: Simplify right side
    263.27x = 65,487.64
  5. Step 5: Solve for x
    x = 65,487.64/263.27
  6. Step 6: Final answer
    x = 248.74

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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.