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Finding the Fourth Proportional to 204.17, 306.27 and 165.97

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Solution

The fourth proportional to 204.17, 306.27 and 165.97 is: 248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.17 : 306.27 = 165.97 : x
  2. Step 2: Convert to fraction form
    204.17/306.27 = 165.97/x
  3. Step 3: Cross multiply
    204.17x = 306.27 × 165.97
  4. Step 4: Simplify right side
    204.17x = 50,832.01
  5. Step 5: Solve for x
    x = 50,832.01/204.17
  6. Step 6: Final answer
    x = 248.98

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Why These Related Problems?

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