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Finding the Fourth Proportional to 227.21, 340.81 and 166.46

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Solution

The fourth proportional to 227.21, 340.81 and 166.46 is: 249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.21 : 340.81 = 166.46 : x
  2. Step 2: Convert to fraction form
    227.21/340.81 = 166.46/x
  3. Step 3: Cross multiply
    227.21x = 340.81 × 166.46
  4. Step 4: Simplify right side
    227.21x = 56,729.11
  5. Step 5: Solve for x
    x = 56,729.11/227.21
  6. Step 6: Final answer
    x = 249.68

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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.