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Finding the Fourth Proportional to 195.77, 294.27 and 169.04

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Solution

The fourth proportional to 195.77, 294.27 and 169.04 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.77 : 294.27 = 169.04 : x
  2. Step 2: Convert to fraction form
    195.77/294.27 = 169.04/x
  3. Step 3: Cross multiply
    195.77x = 294.27 × 169.04
  4. Step 4: Simplify right side
    195.77x = 49,742.56
  5. Step 5: Solve for x
    x = 49,742.56/195.77
  6. Step 6: Final answer
    x = 254.09

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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.