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Finding the Fourth Proportional to 306.98, 423.46 and 196.42

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Solution

The fourth proportional to 306.98, 423.46 and 196.42 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.98 : 423.46 = 196.42 : x
  2. Step 2: Convert to fraction form
    306.98/423.46 = 196.42/x
  3. Step 3: Cross multiply
    306.98x = 423.46 × 196.42
  4. Step 4: Simplify right side
    306.98x = 83,174.46
  5. Step 5: Solve for x
    x = 83,174.46/306.98
  6. Step 6: Final answer
    x = 270.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.