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Finding the Fourth Proportional to 196.78, 271.56 and 119.20

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Solution

The fourth proportional to 196.78, 271.56 and 119.20 is: 164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 271.56 = 119.20 : x
  2. Step 2: Convert to fraction form
    196.78/271.56 = 119.20/x
  3. Step 3: Cross multiply
    196.78x = 271.56 × 119.20
  4. Step 4: Simplify right side
    196.78x = 32,369.95
  5. Step 5: Solve for x
    x = 32,369.95/196.78
  6. Step 6: Final answer
    x = 164.50

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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.