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Finding the Fourth Proportional to 221.81, 306.13 and 166.46

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Solution

The fourth proportional to 221.81, 306.13 and 166.46 is: 229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.81 : 306.13 = 166.46 : x
  2. Step 2: Convert to fraction form
    221.81/306.13 = 166.46/x
  3. Step 3: Cross multiply
    221.81x = 306.13 × 166.46
  4. Step 4: Simplify right side
    221.81x = 50,958.40
  5. Step 5: Solve for x
    x = 50,958.40/221.81
  6. Step 6: Final answer
    x = 229.74

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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.