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Finding the Fourth Proportional to 659.20, 988.71 and 196.96

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Solution

The fourth proportional to 659.20, 988.71 and 196.96 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.20 : 988.71 = 196.96 : x
  2. Step 2: Convert to fraction form
    659.20/988.71 = 196.96/x
  3. Step 3: Cross multiply
    659.20x = 988.71 × 196.96
  4. Step 4: Simplify right side
    659.20x = 194,736.82
  5. Step 5: Solve for x
    x = 194,736.82/659.20
  6. Step 6: Final answer
    x = 295.41

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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.