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Finding the Fourth Proportional to 166.02, 227.46 and 163.74

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Solution

The fourth proportional to 166.02, 227.46 and 163.74 is: 224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 227.46 = 163.74 : x
  2. Step 2: Convert to fraction form
    166.02/227.46 = 163.74/x
  3. Step 3: Cross multiply
    166.02x = 227.46 × 163.74
  4. Step 4: Simplify right side
    166.02x = 37,244.30
  5. Step 5: Solve for x
    x = 37,244.30/166.02
  6. Step 6: Final answer
    x = 224.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.