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Finding the Fourth Proportional to 198.45, 273.56 and 165.65

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Solution

The fourth proportional to 198.45, 273.56 and 165.65 is: 228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.45 : 273.56 = 165.65 : x
  2. Step 2: Convert to fraction form
    198.45/273.56 = 165.65/x
  3. Step 3: Cross multiply
    198.45x = 273.56 × 165.65
  4. Step 4: Simplify right side
    198.45x = 45,313.02
  5. Step 5: Solve for x
    x = 45,313.02/198.45
  6. Step 6: Final answer
    x = 228.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.