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Finding the Fourth Proportional to 263.76, 363.66 and 193.92

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Solution

The fourth proportional to 263.76, 363.66 and 193.92 is: 267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 363.66 = 193.92 : x
  2. Step 2: Convert to fraction form
    263.76/363.66 = 193.92/x
  3. Step 3: Cross multiply
    263.76x = 363.66 × 193.92
  4. Step 4: Simplify right side
    263.76x = 70,520.95
  5. Step 5: Solve for x
    x = 70,520.95/263.76
  6. Step 6: Final answer
    x = 267.37

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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.