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Finding the Fourth Proportional to 198.45, 273.89 and 119.77

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Solution

The fourth proportional to 198.45, 273.89 and 119.77 is: 165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.45 : 273.89 = 119.77 : x
  2. Step 2: Convert to fraction form
    198.45/273.89 = 119.77/x
  3. Step 3: Cross multiply
    198.45x = 273.89 × 119.77
  4. Step 4: Simplify right side
    198.45x = 32,803.81
  5. Step 5: Solve for x
    x = 32,803.81/198.45
  6. Step 6: Final answer
    x = 165.30

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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.