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Finding the Fourth Proportional to 311.24, 429.38 and 194.76

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Solution

The fourth proportional to 311.24, 429.38 and 194.76 is: 268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 429.38 = 194.76 : x
  2. Step 2: Convert to fraction form
    311.24/429.38 = 194.76/x
  3. Step 3: Cross multiply
    311.24x = 429.38 × 194.76
  4. Step 4: Simplify right side
    311.24x = 83,626.05
  5. Step 5: Solve for x
    x = 83,626.05/311.24
  6. Step 6: Final answer
    x = 268.69

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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.