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Finding the Fourth Proportional to 222.92, 308.31 and 191.87

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Solution

The fourth proportional to 222.92, 308.31 and 191.87 is: 265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.92 : 308.31 = 191.87 : x
  2. Step 2: Convert to fraction form
    222.92/308.31 = 191.87/x
  3. Step 3: Cross multiply
    222.92x = 308.31 × 191.87
  4. Step 4: Simplify right side
    222.92x = 59,155.44
  5. Step 5: Solve for x
    x = 59,155.44/222.92
  6. Step 6: Final answer
    x = 265.37

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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.