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Finding the Fourth Proportional to 204.38, 306.71 and 171.37

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Solution

The fourth proportional to 204.38, 306.71 and 171.37 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.38 : 306.71 = 171.37 : x
  2. Step 2: Convert to fraction form
    204.38/306.71 = 171.37/x
  3. Step 3: Cross multiply
    204.38x = 306.71 × 171.37
  4. Step 4: Simplify right side
    204.38x = 52,560.80
  5. Step 5: Solve for x
    x = 52,560.80/204.38
  6. Step 6: Final answer
    x = 257.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.