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Finding the Fourth Proportional to 196.67, 293.25 and 188.97

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Solution

The fourth proportional to 196.67, 293.25 and 188.97 is: 281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 293.25 = 188.97 : x
  2. Step 2: Convert to fraction form
    196.67/293.25 = 188.97/x
  3. Step 3: Cross multiply
    196.67x = 293.25 × 188.97
  4. Step 4: Simplify right side
    196.67x = 55,415.45
  5. Step 5: Solve for x
    x = 55,415.45/196.67
  6. Step 6: Final answer
    x = 281.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.