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Finding the Fourth Proportional to 166.39, 249.49 and 120.81

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Solution

The fourth proportional to 166.39, 249.49 and 120.81 is: 181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.39 : 249.49 = 120.81 : x
  2. Step 2: Convert to fraction form
    166.39/249.49 = 120.81/x
  3. Step 3: Cross multiply
    166.39x = 249.49 × 120.81
  4. Step 4: Simplify right side
    166.39x = 30,140.89
  5. Step 5: Solve for x
    x = 30,140.89/166.39
  6. Step 6: Final answer
    x = 181.15

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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.