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Finding the Fourth Proportional to 195.62, 292.61 and 134.56

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Solution

The fourth proportional to 195.62, 292.61 and 134.56 is: 201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 292.61 = 134.56 : x
  2. Step 2: Convert to fraction form
    195.62/292.61 = 134.56/x
  3. Step 3: Cross multiply
    195.62x = 292.61 × 134.56
  4. Step 4: Simplify right side
    195.62x = 39,374.30
  5. Step 5: Solve for x
    x = 39,374.30/195.62
  6. Step 6: Final answer
    x = 201.28

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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.