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Finding the Fourth Proportional to 196.72, 270.44 and 167.44

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Solution

The fourth proportional to 196.72, 270.44 and 167.44 is: 230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 270.44 = 167.44 : x
  2. Step 2: Convert to fraction form
    196.72/270.44 = 167.44/x
  3. Step 3: Cross multiply
    196.72x = 270.44 × 167.44
  4. Step 4: Simplify right side
    196.72x = 45,282.47
  5. Step 5: Solve for x
    x = 45,282.47/196.72
  6. Step 6: Final answer
    x = 230.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.