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Finding the Fourth Proportional to 196.41, 269.05 and 194.25

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Solution

The fourth proportional to 196.41, 269.05 and 194.25 is: 266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.41 : 269.05 = 194.25 : x
  2. Step 2: Convert to fraction form
    196.41/269.05 = 194.25/x
  3. Step 3: Cross multiply
    196.41x = 269.05 × 194.25
  4. Step 4: Simplify right side
    196.41x = 52,262.48
  5. Step 5: Solve for x
    x = 52,262.48/196.41
  6. Step 6: Final answer
    x = 266.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.