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Finding the Fourth Proportional to 195.92, 294.11 and 155.37

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Solution

The fourth proportional to 195.92, 294.11 and 155.37 is: 233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 294.11 = 155.37 : x
  2. Step 2: Convert to fraction form
    195.92/294.11 = 155.37/x
  3. Step 3: Cross multiply
    195.92x = 294.11 × 155.37
  4. Step 4: Simplify right side
    195.92x = 45,694.69
  5. Step 5: Solve for x
    x = 45,694.69/195.92
  6. Step 6: Final answer
    x = 233.23

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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.