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Finding the Fourth Proportional to 195.82, 292.63 and 171.22

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Solution

The fourth proportional to 195.82, 292.63 and 171.22 is: 255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 292.63 = 171.22 : x
  2. Step 2: Convert to fraction form
    195.82/292.63 = 171.22/x
  3. Step 3: Cross multiply
    195.82x = 292.63 × 171.22
  4. Step 4: Simplify right side
    195.82x = 50,104.11
  5. Step 5: Solve for x
    x = 50,104.11/195.82
  6. Step 6: Final answer
    x = 255.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.