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Finding the Fourth Proportional to 196.82, 271.54 and 119.19

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Solution

The fourth proportional to 196.82, 271.54 and 119.19 is: 164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.82 : 271.54 = 119.19 : x
  2. Step 2: Convert to fraction form
    196.82/271.54 = 119.19/x
  3. Step 3: Cross multiply
    196.82x = 271.54 × 119.19
  4. Step 4: Simplify right side
    196.82x = 32,364.55
  5. Step 5: Solve for x
    x = 32,364.55/196.82
  6. Step 6: Final answer
    x = 164.44

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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.