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Finding the Fourth Proportional to 222.92, 308.20 and 167.94

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Solution

The fourth proportional to 222.92, 308.20 and 167.94 is: 232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.92 : 308.20 = 167.94 : x
  2. Step 2: Convert to fraction form
    222.92/308.20 = 167.94/x
  3. Step 3: Cross multiply
    222.92x = 308.20 × 167.94
  4. Step 4: Simplify right side
    222.92x = 51,759.11
  5. Step 5: Solve for x
    x = 51,759.11/222.92
  6. Step 6: Final answer
    x = 232.19

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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.