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Finding the Fourth Proportional to 306.90, 423.41 and 196.40

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Solution

The fourth proportional to 306.90, 423.41 and 196.40 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.90 : 423.41 = 196.40 : x
  2. Step 2: Convert to fraction form
    306.90/423.41 = 196.40/x
  3. Step 3: Cross multiply
    306.90x = 423.41 × 196.40
  4. Step 4: Simplify right side
    306.90x = 83,157.80
  5. Step 5: Solve for x
    x = 83,157.80/306.90
  6. Step 6: Final answer
    x = 270.96

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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.