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Finding the Fourth Proportional to 263.72, 396.12 and 195.68

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Solution

The fourth proportional to 263.72, 396.12 and 195.68 is: 293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.72 : 396.12 = 195.68 : x
  2. Step 2: Convert to fraction form
    263.72/396.12 = 195.68/x
  3. Step 3: Cross multiply
    263.72x = 396.12 × 195.68
  4. Step 4: Simplify right side
    263.72x = 77,512.76
  5. Step 5: Solve for x
    x = 77,512.76/263.72
  6. Step 6: Final answer
    x = 293.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.