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Finding the Fourth Proportional to 221.09, 305.40 and 166.24

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Solution

The fourth proportional to 221.09, 305.40 and 166.24 is: 229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.09 : 305.40 = 166.24 : x
  2. Step 2: Convert to fraction form
    221.09/305.40 = 166.24/x
  3. Step 3: Cross multiply
    221.09x = 305.40 × 166.24
  4. Step 4: Simplify right side
    221.09x = 50,769.70
  5. Step 5: Solve for x
    x = 50,769.70/221.09
  6. Step 6: Final answer
    x = 229.63

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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.