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Finding the Fourth Proportional to 306.42, 422.96 and 196.06

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Solution

The fourth proportional to 306.42, 422.96 and 196.06 is: 270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 422.96 = 196.06 : x
  2. Step 2: Convert to fraction form
    306.42/422.96 = 196.06/x
  3. Step 3: Cross multiply
    306.42x = 422.96 × 196.06
  4. Step 4: Simplify right side
    306.42x = 82,925.54
  5. Step 5: Solve for x
    x = 82,925.54/306.42
  6. Step 6: Final answer
    x = 270.63

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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.