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Finding the Fourth Proportional to 198.64, 273.86 and 146.14

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Solution

The fourth proportional to 198.64, 273.86 and 146.14 is: 201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 273.86 = 146.14 : x
  2. Step 2: Convert to fraction form
    198.64/273.86 = 146.14/x
  3. Step 3: Cross multiply
    198.64x = 273.86 × 146.14
  4. Step 4: Simplify right side
    198.64x = 40,020.53
  5. Step 5: Solve for x
    x = 40,020.53/198.64
  6. Step 6: Final answer
    x = 201.48

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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.