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Finding the Fourth Proportional to 194.57, 291.62 and 107.85

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Solution

The fourth proportional to 194.57, 291.62 and 107.85 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.57 : 291.62 = 107.85 : x
  2. Step 2: Convert to fraction form
    194.57/291.62 = 107.85/x
  3. Step 3: Cross multiply
    194.57x = 291.62 × 107.85
  4. Step 4: Simplify right side
    194.57x = 31,450.68
  5. Step 5: Solve for x
    x = 31,450.68/194.57
  6. Step 6: Final answer
    x = 161.65

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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.