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Finding the Fourth Proportional to 306.05, 422.36 and 189.68

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Solution

The fourth proportional to 306.05, 422.36 and 189.68 is: 261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.05 : 422.36 = 189.68 : x
  2. Step 2: Convert to fraction form
    306.05/422.36 = 189.68/x
  3. Step 3: Cross multiply
    306.05x = 422.36 × 189.68
  4. Step 4: Simplify right side
    306.05x = 80,110.18
  5. Step 5: Solve for x
    x = 80,110.18/306.05
  6. Step 6: Final answer
    x = 261.76

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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.