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Finding the Fourth Proportional to 195.36, 292.92 and 134.43

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Solution

The fourth proportional to 195.36, 292.92 and 134.43 is: 201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.36 : 292.92 = 134.43 : x
  2. Step 2: Convert to fraction form
    195.36/292.92 = 134.43/x
  3. Step 3: Cross multiply
    195.36x = 292.92 × 134.43
  4. Step 4: Simplify right side
    195.36x = 39,376.77
  5. Step 5: Solve for x
    x = 39,376.77/195.36
  6. Step 6: Final answer
    x = 201.56

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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.