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Finding the Fourth Proportional to 166.92, 229.53 and 161.80

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Solution

The fourth proportional to 166.92, 229.53 and 161.80 is: 222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 229.53 = 161.80 : x
  2. Step 2: Convert to fraction form
    166.92/229.53 = 161.80/x
  3. Step 3: Cross multiply
    166.92x = 229.53 × 161.80
  4. Step 4: Simplify right side
    166.92x = 37,137.95
  5. Step 5: Solve for x
    x = 37,137.95/166.92
  6. Step 6: Final answer
    x = 222.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.