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Finding the Fourth Proportional to 195.96, 293.65 and 109.29

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Solution

The fourth proportional to 195.96, 293.65 and 109.29 is: 163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 293.65 = 109.29 : x
  2. Step 2: Convert to fraction form
    195.96/293.65 = 109.29/x
  3. Step 3: Cross multiply
    195.96x = 293.65 × 109.29
  4. Step 4: Simplify right side
    195.96x = 32,093.01
  5. Step 5: Solve for x
    x = 32,093.01/195.96
  6. Step 6: Final answer
    x = 163.77

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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.