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Finding the Fourth Proportional to 194.73, 291.84 and 113.61

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Solution

The fourth proportional to 194.73, 291.84 and 113.61 is: 170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.73 : 291.84 = 113.61 : x
  2. Step 2: Convert to fraction form
    194.73/291.84 = 113.61/x
  3. Step 3: Cross multiply
    194.73x = 291.84 × 113.61
  4. Step 4: Simplify right side
    194.73x = 33,155.94
  5. Step 5: Solve for x
    x = 33,155.94/194.73
  6. Step 6: Final answer
    x = 170.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.