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Finding the Fourth Proportional to 199.94, 275.92 and 122.31

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Solution

The fourth proportional to 199.94, 275.92 and 122.31 is: 168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.94 : 275.92 = 122.31 : x
  2. Step 2: Convert to fraction form
    199.94/275.92 = 122.31/x
  3. Step 3: Cross multiply
    199.94x = 275.92 × 122.31
  4. Step 4: Simplify right side
    199.94x = 33,747.85
  5. Step 5: Solve for x
    x = 33,747.85/199.94
  6. Step 6: Final answer
    x = 168.79

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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.