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Finding the Fourth Proportional to 195.92, 293.42 and 134.76

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Solution

The fourth proportional to 195.92, 293.42 and 134.76 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 293.42 = 134.76 : x
  2. Step 2: Convert to fraction form
    195.92/293.42 = 134.76/x
  3. Step 3: Cross multiply
    195.92x = 293.42 × 134.76
  4. Step 4: Simplify right side
    195.92x = 39,541.28
  5. Step 5: Solve for x
    x = 39,541.28/195.92
  6. Step 6: Final answer
    x = 201.82

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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.