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Finding the Fourth Proportional to 306.43, 422.87 and 173.66

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Solution

The fourth proportional to 306.43, 422.87 and 173.66 is: 239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.43 : 422.87 = 173.66 : x
  2. Step 2: Convert to fraction form
    306.43/422.87 = 173.66/x
  3. Step 3: Cross multiply
    306.43x = 422.87 × 173.66
  4. Step 4: Simplify right side
    306.43x = 73,435.60
  5. Step 5: Solve for x
    x = 73,435.60/306.43
  6. Step 6: Final answer
    x = 239.65

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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.