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Finding the Fourth Proportional to 198.06, 295.49 and 183.36

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Solution

The fourth proportional to 198.06, 295.49 and 183.36 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 295.49 = 183.36 : x
  2. Step 2: Convert to fraction form
    198.06/295.49 = 183.36/x
  3. Step 3: Cross multiply
    198.06x = 295.49 × 183.36
  4. Step 4: Simplify right side
    198.06x = 54,181.05
  5. Step 5: Solve for x
    x = 54,181.05/198.06
  6. Step 6: Final answer
    x = 273.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.