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Finding the Fourth Proportional to 222.05, 305.68 and 166.69

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Solution

The fourth proportional to 222.05, 305.68 and 166.69 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.05 : 305.68 = 166.69 : x
  2. Step 2: Convert to fraction form
    222.05/305.68 = 166.69/x
  3. Step 3: Cross multiply
    222.05x = 305.68 × 166.69
  4. Step 4: Simplify right side
    222.05x = 50,953.80
  5. Step 5: Solve for x
    x = 50,953.80/222.05
  6. Step 6: Final answer
    x = 229.48

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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.