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Finding the Fourth Proportional to 163.34, 226.97 and 161.67

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Solution

The fourth proportional to 163.34, 226.97 and 161.67 is: 224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.34 : 226.97 = 161.67 : x
  2. Step 2: Convert to fraction form
    163.34/226.97 = 161.67/x
  3. Step 3: Cross multiply
    163.34x = 226.97 × 161.67
  4. Step 4: Simplify right side
    163.34x = 36,693.43
  5. Step 5: Solve for x
    x = 36,693.43/163.34
  6. Step 6: Final answer
    x = 224.65

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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.