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Finding the Fourth Proportional to 196.89, 271.57 and 167.18

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Solution

The fourth proportional to 196.89, 271.57 and 167.18 is: 230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.89 : 271.57 = 167.18 : x
  2. Step 2: Convert to fraction form
    196.89/271.57 = 167.18/x
  3. Step 3: Cross multiply
    196.89x = 271.57 × 167.18
  4. Step 4: Simplify right side
    196.89x = 45,400.47
  5. Step 5: Solve for x
    x = 45,400.47/196.89
  6. Step 6: Final answer
    x = 230.59

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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.