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Finding the Fourth Proportional to 306.22, 422.51 and 181.88

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Solution

The fourth proportional to 306.22, 422.51 and 181.88 is: 250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.22 : 422.51 = 181.88 : x
  2. Step 2: Convert to fraction form
    306.22/422.51 = 181.88/x
  3. Step 3: Cross multiply
    306.22x = 422.51 × 181.88
  4. Step 4: Simplify right side
    306.22x = 76,844.01
  5. Step 5: Solve for x
    x = 76,844.01/306.22
  6. Step 6: Final answer
    x = 250.94

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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.