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Finding the Fourth Proportional to 306.97, 423.42 and 196.42

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Solution

The fourth proportional to 306.97, 423.42 and 196.42 is: 270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.97 : 423.42 = 196.42 : x
  2. Step 2: Convert to fraction form
    306.97/423.42 = 196.42/x
  3. Step 3: Cross multiply
    306.97x = 423.42 × 196.42
  4. Step 4: Simplify right side
    306.97x = 83,168.16
  5. Step 5: Solve for x
    x = 83,168.16/306.97
  6. Step 6: Final answer
    x = 270.93

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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.