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Finding the Fourth Proportional to 221.86, 306.02 and 166.50

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Solution

The fourth proportional to 221.86, 306.02 and 166.50 is: 229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.86 : 306.02 = 166.50 : x
  2. Step 2: Convert to fraction form
    221.86/306.02 = 166.50/x
  3. Step 3: Cross multiply
    221.86x = 306.02 × 166.50
  4. Step 4: Simplify right side
    221.86x = 50,951.81
  5. Step 5: Solve for x
    x = 50,951.81/221.86
  6. Step 6: Final answer
    x = 229.66

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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.