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Finding the Fourth Proportional to 306.41, 422.64 and 181.97

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Solution

The fourth proportional to 306.41, 422.64 and 181.97 is: 251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 422.64 = 181.97 : x
  2. Step 2: Convert to fraction form
    306.41/422.64 = 181.97/x
  3. Step 3: Cross multiply
    306.41x = 422.64 × 181.97
  4. Step 4: Simplify right side
    306.41x = 76,909.54
  5. Step 5: Solve for x
    x = 76,909.54/306.41
  6. Step 6: Final answer
    x = 251.01

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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.