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Finding the Fourth Proportional to 306.29, 422.35 and 189.86

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Solution

The fourth proportional to 306.29, 422.35 and 189.86 is: 261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 422.35 = 189.86 : x
  2. Step 2: Convert to fraction form
    306.29/422.35 = 189.86/x
  3. Step 3: Cross multiply
    306.29x = 422.35 × 189.86
  4. Step 4: Simplify right side
    306.29x = 80,184.78
  5. Step 5: Solve for x
    x = 80,184.78/306.29
  6. Step 6: Final answer
    x = 261.79

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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.