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Finding the Fourth Proportional to 195.92, 270.48 and 133.76

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Solution

The fourth proportional to 195.92, 270.48 and 133.76 is: 184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 270.48 = 133.76 : x
  2. Step 2: Convert to fraction form
    195.92/270.48 = 133.76/x
  3. Step 3: Cross multiply
    195.92x = 270.48 × 133.76
  4. Step 4: Simplify right side
    195.92x = 36,179.40
  5. Step 5: Solve for x
    x = 36,179.40/195.92
  6. Step 6: Final answer
    x = 184.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.