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Finding the Fourth Proportional to 306.31, 422.80 and 182

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Solution

The fourth proportional to 306.31, 422.80 and 182 is: 251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.31 : 422.80 = 182 : x
  2. Step 2: Convert to fraction form
    306.31/422.80 = 182/x
  3. Step 3: Cross multiply
    306.31x = 422.80 × 182
  4. Step 4: Simplify right side
    306.31x = 76,949.60
  5. Step 5: Solve for x
    x = 76,949.60/306.31
  6. Step 6: Final answer
    x = 251.21

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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.