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Finding the Fourth Proportional to 198.30, 273.63 and 115.40

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Solution

The fourth proportional to 198.30, 273.63 and 115.40 is: 159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 273.63 = 115.40 : x
  2. Step 2: Convert to fraction form
    198.30/273.63 = 115.40/x
  3. Step 3: Cross multiply
    198.30x = 273.63 × 115.40
  4. Step 4: Simplify right side
    198.30x = 31,575.93
  5. Step 5: Solve for x
    x = 31,575.93/198.30
  6. Step 6: Final answer
    x = 159.23

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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.