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Finding the Fourth Proportional to 195.96, 293.74 and 109.22

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Solution

The fourth proportional to 195.96, 293.74 and 109.22 is: 163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 293.74 = 109.22 : x
  2. Step 2: Convert to fraction form
    195.96/293.74 = 109.22/x
  3. Step 3: Cross multiply
    195.96x = 293.74 × 109.22
  4. Step 4: Simplify right side
    195.96x = 32,082.28
  5. Step 5: Solve for x
    x = 32,082.28/195.96
  6. Step 6: Final answer
    x = 163.72

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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.