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Finding the Fourth Proportional to 195.92, 271.36 and 184.08

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Solution

The fourth proportional to 195.92, 271.36 and 184.08 is: 254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 271.36 = 184.08 : x
  2. Step 2: Convert to fraction form
    195.92/271.36 = 184.08/x
  3. Step 3: Cross multiply
    195.92x = 271.36 × 184.08
  4. Step 4: Simplify right side
    195.92x = 49,951.95
  5. Step 5: Solve for x
    x = 49,951.95/195.92
  6. Step 6: Final answer
    x = 254.96

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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.