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Finding the Fourth Proportional to 263.30, 363.33 and 180.48

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Solution

The fourth proportional to 263.30, 363.33 and 180.48 is: 249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.30 : 363.33 = 180.48 : x
  2. Step 2: Convert to fraction form
    263.30/363.33 = 180.48/x
  3. Step 3: Cross multiply
    263.30x = 363.33 × 180.48
  4. Step 4: Simplify right side
    263.30x = 65,571.08
  5. Step 5: Solve for x
    x = 65,571.08/263.30
  6. Step 6: Final answer
    x = 249.04

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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.