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Finding the Fourth Proportional to 198.92, 275.76 and 188.51

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Solution

The fourth proportional to 198.92, 275.76 and 188.51 is: 261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 275.76 = 188.51 : x
  2. Step 2: Convert to fraction form
    198.92/275.76 = 188.51/x
  3. Step 3: Cross multiply
    198.92x = 275.76 × 188.51
  4. Step 4: Simplify right side
    198.92x = 51,982.14
  5. Step 5: Solve for x
    x = 51,982.14/198.92
  6. Step 6: Final answer
    x = 261.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.