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Finding the Fourth Proportional to 198.55, 273.81 and 165.70

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Solution

The fourth proportional to 198.55, 273.81 and 165.70 is: 228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.55 : 273.81 = 165.70 : x
  2. Step 2: Convert to fraction form
    198.55/273.81 = 165.70/x
  3. Step 3: Cross multiply
    198.55x = 273.81 × 165.70
  4. Step 4: Simplify right side
    198.55x = 45,370.32
  5. Step 5: Solve for x
    x = 45,370.32/198.55
  6. Step 6: Final answer
    x = 228.51

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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.