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Finding the Fourth Proportional to 263.28, 363.24 and 180.36

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Solution

The fourth proportional to 263.28, 363.24 and 180.36 is: 248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.28 : 363.24 = 180.36 : x
  2. Step 2: Convert to fraction form
    263.28/363.24 = 180.36/x
  3. Step 3: Cross multiply
    263.28x = 363.24 × 180.36
  4. Step 4: Simplify right side
    263.28x = 65,513.97
  5. Step 5: Solve for x
    x = 65,513.97/263.28
  6. Step 6: Final answer
    x = 248.84

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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.