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Finding the Fourth Proportional to 306.52, 422.96 and 182.24

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Solution

The fourth proportional to 306.52, 422.96 and 182.24 is: 251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.52 : 422.96 = 182.24 : x
  2. Step 2: Convert to fraction form
    306.52/422.96 = 182.24/x
  3. Step 3: Cross multiply
    306.52x = 422.96 × 182.24
  4. Step 4: Simplify right side
    306.52x = 77,080.23
  5. Step 5: Solve for x
    x = 77,080.23/306.52
  6. Step 6: Final answer
    x = 251.47

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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.