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Finding the Fourth Proportional to 263.12, 396.18 and 195.08

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Solution

The fourth proportional to 263.12, 396.18 and 195.08 is: 293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.12 : 396.18 = 195.08 : x
  2. Step 2: Convert to fraction form
    263.12/396.18 = 195.08/x
  3. Step 3: Cross multiply
    263.12x = 396.18 × 195.08
  4. Step 4: Simplify right side
    263.12x = 77,286.79
  5. Step 5: Solve for x
    x = 77,286.79/263.12
  6. Step 6: Final answer
    x = 293.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.