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Finding the Fourth Proportional to 659.31, 988.79 and 196.97

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Solution

The fourth proportional to 659.31, 988.79 and 196.97 is: 295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.31 : 988.79 = 196.97 : x
  2. Step 2: Convert to fraction form
    659.31/988.79 = 196.97/x
  3. Step 3: Cross multiply
    659.31x = 988.79 × 196.97
  4. Step 4: Simplify right side
    659.31x = 194,756.04
  5. Step 5: Solve for x
    x = 194,756.04/659.31
  6. Step 6: Final answer
    x = 295.39

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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.