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Finding the Fourth Proportional to 659.20, 988.81 and 196.97

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Solution

The fourth proportional to 659.20, 988.81 and 196.97 is: 295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.20 : 988.81 = 196.97 : x
  2. Step 2: Convert to fraction form
    659.20/988.81 = 196.97/x
  3. Step 3: Cross multiply
    659.20x = 988.81 × 196.97
  4. Step 4: Simplify right side
    659.20x = 194,765.91
  5. Step 5: Solve for x
    x = 194,765.91/659.20
  6. Step 6: Final answer
    x = 295.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.