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Finding the Fourth Proportional to 200.92, 300.90 and 166.84

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Solution

The fourth proportional to 200.92, 300.90 and 166.84 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.92 : 300.90 = 166.84 : x
  2. Step 2: Convert to fraction form
    200.92/300.90 = 166.84/x
  3. Step 3: Cross multiply
    200.92x = 300.90 × 166.84
  4. Step 4: Simplify right side
    200.92x = 50,202.16
  5. Step 5: Solve for x
    x = 50,202.16/200.92
  6. Step 6: Final answer
    x = 249.86

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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.