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Finding the Fourth Proportional to 196.97, 271.76 and 164.16

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Solution

The fourth proportional to 196.97, 271.76 and 164.16 is: 226.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.97 : 271.76 = 164.16 : x
  2. Step 2: Convert to fraction form
    196.97/271.76 = 164.16/x
  3. Step 3: Cross multiply
    196.97x = 271.76 × 164.16
  4. Step 4: Simplify right side
    196.97x = 44,611.30
  5. Step 5: Solve for x
    x = 44,611.30/196.97
  6. Step 6: Final answer
    x = 226.49

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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.