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Finding the Fourth Proportional to 166.82, 230.12 and 120.20

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Solution

The fourth proportional to 166.82, 230.12 and 120.20 is: 165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.82 : 230.12 = 120.20 : x
  2. Step 2: Convert to fraction form
    166.82/230.12 = 120.20/x
  3. Step 3: Cross multiply
    166.82x = 230.12 × 120.20
  4. Step 4: Simplify right side
    166.82x = 27,660.42
  5. Step 5: Solve for x
    x = 27,660.42/166.82
  6. Step 6: Final answer
    x = 165.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.