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Finding the Fourth Proportional to 196.12, 270.84 and 133.82

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Solution

The fourth proportional to 196.12, 270.84 and 133.82 is: 184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.12 : 270.84 = 133.82 : x
  2. Step 2: Convert to fraction form
    196.12/270.84 = 133.82/x
  3. Step 3: Cross multiply
    196.12x = 270.84 × 133.82
  4. Step 4: Simplify right side
    196.12x = 36,243.97
  5. Step 5: Solve for x
    x = 36,243.97/196.12
  6. Step 6: Final answer
    x = 184.80

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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.