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Finding the Fourth Proportional to 658.78, 988.17 and 196.89

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Solution

The fourth proportional to 658.78, 988.17 and 196.89 is: 295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.78 : 988.17 = 196.89 : x
  2. Step 2: Convert to fraction form
    658.78/988.17 = 196.89/x
  3. Step 3: Cross multiply
    658.78x = 988.17 × 196.89
  4. Step 4: Simplify right side
    658.78x = 194,556.34
  5. Step 5: Solve for x
    x = 194,556.34/658.78
  6. Step 6: Final answer
    x = 295.33

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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.