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Finding the Fourth Proportional to 198.23, 273.58 and 119.57

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Solution

The fourth proportional to 198.23, 273.58 and 119.57 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 273.58 = 119.57 : x
  2. Step 2: Convert to fraction form
    198.23/273.58 = 119.57/x
  3. Step 3: Cross multiply
    198.23x = 273.58 × 119.57
  4. Step 4: Simplify right side
    198.23x = 32,712.35
  5. Step 5: Solve for x
    x = 32,712.35/198.23
  6. Step 6: Final answer
    x = 165.02

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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.