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Finding the Fourth Proportional to 306.07, 422.39 and 181.80

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Solution

The fourth proportional to 306.07, 422.39 and 181.80 is: 250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.07 : 422.39 = 181.80 : x
  2. Step 2: Convert to fraction form
    306.07/422.39 = 181.80/x
  3. Step 3: Cross multiply
    306.07x = 422.39 × 181.80
  4. Step 4: Simplify right side
    306.07x = 76,789.59
  5. Step 5: Solve for x
    x = 76,789.59/306.07
  6. Step 6: Final answer
    x = 250.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.