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Finding the Fourth Proportional to 195.96, 293.70 and 114.86

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Solution

The fourth proportional to 195.96, 293.70 and 114.86 is: 172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 293.70 = 114.86 : x
  2. Step 2: Convert to fraction form
    195.96/293.70 = 114.86/x
  3. Step 3: Cross multiply
    195.96x = 293.70 × 114.86
  4. Step 4: Simplify right side
    195.96x = 33,734.38
  5. Step 5: Solve for x
    x = 33,734.38/195.96
  6. Step 6: Final answer
    x = 172.15

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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.