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Finding the Fourth Proportional to 196.39, 271.09 and 177.92

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Solution

The fourth proportional to 196.39, 271.09 and 177.92 is: 245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.39 : 271.09 = 177.92 : x
  2. Step 2: Convert to fraction form
    196.39/271.09 = 177.92/x
  3. Step 3: Cross multiply
    196.39x = 271.09 × 177.92
  4. Step 4: Simplify right side
    196.39x = 48,232.33
  5. Step 5: Solve for x
    x = 48,232.33/196.39
  6. Step 6: Final answer
    x = 245.59

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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.