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Finding the Fourth Proportional to 306.50, 422.97 and 182.11

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Solution

The fourth proportional to 306.50, 422.97 and 182.11 is: 251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 422.97 = 182.11 : x
  2. Step 2: Convert to fraction form
    306.50/422.97 = 182.11/x
  3. Step 3: Cross multiply
    306.50x = 422.97 × 182.11
  4. Step 4: Simplify right side
    306.50x = 77,027.07
  5. Step 5: Solve for x
    x = 77,027.07/306.50
  6. Step 6: Final answer
    x = 251.31

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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.