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Finding the Fourth Proportional to 198.29, 273.64 and 115.40

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Solution

The fourth proportional to 198.29, 273.64 and 115.40 is: 159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.29 : 273.64 = 115.40 : x
  2. Step 2: Convert to fraction form
    198.29/273.64 = 115.40/x
  3. Step 3: Cross multiply
    198.29x = 273.64 × 115.40
  4. Step 4: Simplify right side
    198.29x = 31,577.21
  5. Step 5: Solve for x
    x = 31,577.21/198.29
  6. Step 6: Final answer
    x = 159.25

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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.