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Finding the Fourth Proportional to 198.68, 273.72 and 165.82

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Solution

The fourth proportional to 198.68, 273.72 and 165.82 is: 228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.68 : 273.72 = 165.82 : x
  2. Step 2: Convert to fraction form
    198.68/273.72 = 165.82/x
  3. Step 3: Cross multiply
    198.68x = 273.72 × 165.82
  4. Step 4: Simplify right side
    198.68x = 45,388.25
  5. Step 5: Solve for x
    x = 45,388.25/198.68
  6. Step 6: Final answer
    x = 228.45

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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.