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Finding the Fourth Proportional to 263.28, 363.52 and 198.15

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Solution

The fourth proportional to 263.28, 363.52 and 198.15 is: 273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.28 : 363.52 = 198.15 : x
  2. Step 2: Convert to fraction form
    263.28/363.52 = 198.15/x
  3. Step 3: Cross multiply
    263.28x = 363.52 × 198.15
  4. Step 4: Simplify right side
    263.28x = 72,031.49
  5. Step 5: Solve for x
    x = 72,031.49/263.28
  6. Step 6: Final answer
    x = 273.59

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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.