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Finding the Fourth Proportional to 195.43, 293.14 and 134.54

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Solution

The fourth proportional to 195.43, 293.14 and 134.54 is: 201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.43 : 293.14 = 134.54 : x
  2. Step 2: Convert to fraction form
    195.43/293.14 = 134.54/x
  3. Step 3: Cross multiply
    195.43x = 293.14 × 134.54
  4. Step 4: Simplify right side
    195.43x = 39,439.06
  5. Step 5: Solve for x
    x = 39,439.06/195.43
  6. Step 6: Final answer
    x = 201.81

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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.