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Finding the Fourth Proportional to 196.12, 270.04 and 168.38

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Solution

The fourth proportional to 196.12, 270.04 and 168.38 is: 231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.12 : 270.04 = 168.38 : x
  2. Step 2: Convert to fraction form
    196.12/270.04 = 168.38/x
  3. Step 3: Cross multiply
    196.12x = 270.04 × 168.38
  4. Step 4: Simplify right side
    196.12x = 45,469.34
  5. Step 5: Solve for x
    x = 45,469.34/196.12
  6. Step 6: Final answer
    x = 231.84

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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.