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Finding the Fourth Proportional to 194.82, 291.86 and 113.42

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Solution

The fourth proportional to 194.82, 291.86 and 113.42 is: 169.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.82 : 291.86 = 113.42 : x
  2. Step 2: Convert to fraction form
    194.82/291.86 = 113.42/x
  3. Step 3: Cross multiply
    194.82x = 291.86 × 113.42
  4. Step 4: Simplify right side
    194.82x = 33,102.76
  5. Step 5: Solve for x
    x = 33,102.76/194.82
  6. Step 6: Final answer
    x = 169.91

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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.