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Finding the Fourth Proportional to 306.29, 422.27 and 207.88

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Solution

The fourth proportional to 306.29, 422.27 and 207.88 is: 286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.29 : 422.27 = 207.88 : x
  2. Step 2: Convert to fraction form
    306.29/422.27 = 207.88/x
  3. Step 3: Cross multiply
    306.29x = 422.27 × 207.88
  4. Step 4: Simplify right side
    306.29x = 87,779.38
  5. Step 5: Solve for x
    x = 87,779.38/306.29
  6. Step 6: Final answer
    x = 286.59

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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.