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Finding the Fourth Proportional to 166.59, 230.94 and 163.24

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Solution

The fourth proportional to 166.59, 230.94 and 163.24 is: 226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 230.94 = 163.24 : x
  2. Step 2: Convert to fraction form
    166.59/230.94 = 163.24/x
  3. Step 3: Cross multiply
    166.59x = 230.94 × 163.24
  4. Step 4: Simplify right side
    166.59x = 37,698.07
  5. Step 5: Solve for x
    x = 37,698.07/166.59
  6. Step 6: Final answer
    x = 226.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.