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Finding the Fourth Proportional to 198.82, 298.37 and 125.79

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Solution

The fourth proportional to 198.82, 298.37 and 125.79 is: 188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.82 : 298.37 = 125.79 : x
  2. Step 2: Convert to fraction form
    198.82/298.37 = 125.79/x
  3. Step 3: Cross multiply
    198.82x = 298.37 × 125.79
  4. Step 4: Simplify right side
    198.82x = 37,531.96
  5. Step 5: Solve for x
    x = 37,531.96/198.82
  6. Step 6: Final answer
    x = 188.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.