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Finding the Fourth Proportional to 198.64, 273.51 and 165.82

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Solution

The fourth proportional to 198.64, 273.51 and 165.82 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 273.51 = 165.82 : x
  2. Step 2: Convert to fraction form
    198.64/273.51 = 165.82/x
  3. Step 3: Cross multiply
    198.64x = 273.51 × 165.82
  4. Step 4: Simplify right side
    198.64x = 45,353.43
  5. Step 5: Solve for x
    x = 45,353.43/198.64
  6. Step 6: Final answer
    x = 228.32

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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.