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Finding the Fourth Proportional to 194.87, 268.85 and 111.97

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Solution

The fourth proportional to 194.87, 268.85 and 111.97 is: 154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.87 : 268.85 = 111.97 : x
  2. Step 2: Convert to fraction form
    194.87/268.85 = 111.97/x
  3. Step 3: Cross multiply
    194.87x = 268.85 × 111.97
  4. Step 4: Simplify right side
    194.87x = 30,102.74
  5. Step 5: Solve for x
    x = 30,102.74/194.87
  6. Step 6: Final answer
    x = 154.47

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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.