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Finding the Fourth Proportional to 166.26, 226.44 and 164.36

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Solution

The fourth proportional to 166.26, 226.44 and 164.36 is: 223.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.26 : 226.44 = 164.36 : x
  2. Step 2: Convert to fraction form
    166.26/226.44 = 164.36/x
  3. Step 3: Cross multiply
    166.26x = 226.44 × 164.36
  4. Step 4: Simplify right side
    166.26x = 37,216.55
  5. Step 5: Solve for x
    x = 37,216.55/166.26
  6. Step 6: Final answer
    x = 223.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.