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Finding the Fourth Proportional to 306.49, 423.09 and 196.11

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Solution

The fourth proportional to 306.49, 423.09 and 196.11 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.49 : 423.09 = 196.11 : x
  2. Step 2: Convert to fraction form
    306.49/423.09 = 196.11/x
  3. Step 3: Cross multiply
    306.49x = 423.09 × 196.11
  4. Step 4: Simplify right side
    306.49x = 82,972.18
  5. Step 5: Solve for x
    x = 82,972.18/306.49
  6. Step 6: Final answer
    x = 270.72

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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.