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Finding the Fourth Proportional to 195.82, 271.85 and 189.88

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Solution

The fourth proportional to 195.82, 271.85 and 189.88 is: 263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 271.85 = 189.88 : x
  2. Step 2: Convert to fraction form
    195.82/271.85 = 189.88/x
  3. Step 3: Cross multiply
    195.82x = 271.85 × 189.88
  4. Step 4: Simplify right side
    195.82x = 51,618.88
  5. Step 5: Solve for x
    x = 51,618.88/195.82
  6. Step 6: Final answer
    x = 263.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.