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Finding the Fourth Proportional to 201.42, 300.96 and 166.95

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Solution

The fourth proportional to 201.42, 300.96 and 166.95 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.42 : 300.96 = 166.95 : x
  2. Step 2: Convert to fraction form
    201.42/300.96 = 166.95/x
  3. Step 3: Cross multiply
    201.42x = 300.96 × 166.95
  4. Step 4: Simplify right side
    201.42x = 50,245.27
  5. Step 5: Solve for x
    x = 50,245.27/201.42
  6. Step 6: Final answer
    x = 249.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.