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Finding the Fourth Proportional to 198.92, 273.96 and 184.32

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Solution

The fourth proportional to 198.92, 273.96 and 184.32 is: 253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.92 : 273.96 = 184.32 : x
  2. Step 2: Convert to fraction form
    198.92/273.96 = 184.32/x
  3. Step 3: Cross multiply
    198.92x = 273.96 × 184.32
  4. Step 4: Simplify right side
    198.92x = 50,496.31
  5. Step 5: Solve for x
    x = 50,496.31/198.92
  6. Step 6: Final answer
    x = 253.86

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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.