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Finding the Fourth Proportional to 194.12, 268.22 and 138.76

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Solution

The fourth proportional to 194.12, 268.22 and 138.76 is: 191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.12 : 268.22 = 138.76 : x
  2. Step 2: Convert to fraction form
    194.12/268.22 = 138.76/x
  3. Step 3: Cross multiply
    194.12x = 268.22 × 138.76
  4. Step 4: Simplify right side
    194.12x = 37,217.88
  5. Step 5: Solve for x
    x = 37,217.88/194.12
  6. Step 6: Final answer
    x = 191.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.