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Finding the Fourth Proportional to 204.40, 305.96 and 166

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Solution

The fourth proportional to 204.40, 305.96 and 166 is: 248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.40 : 305.96 = 166 : x
  2. Step 2: Convert to fraction form
    204.40/305.96 = 166/x
  3. Step 3: Cross multiply
    204.40x = 305.96 × 166
  4. Step 4: Simplify right side
    204.40x = 50,789.36
  5. Step 5: Solve for x
    x = 50,789.36/204.40
  6. Step 6: Final answer
    x = 248.48

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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.