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Finding the Fourth Proportional to 166.74, 230.22 and 107.81

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Solution

The fourth proportional to 166.74, 230.22 and 107.81 is: 148.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.74 : 230.22 = 107.81 : x
  2. Step 2: Convert to fraction form
    166.74/230.22 = 107.81/x
  3. Step 3: Cross multiply
    166.74x = 230.22 × 107.81
  4. Step 4: Simplify right side
    166.74x = 24,820.02
  5. Step 5: Solve for x
    x = 24,820.02/166.74
  6. Step 6: Final answer
    x = 148.85

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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.