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Finding the Fourth Proportional to 197.96, 273.15 and 115.04

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Solution

The fourth proportional to 197.96, 273.15 and 115.04 is: 158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.96 : 273.15 = 115.04 : x
  2. Step 2: Convert to fraction form
    197.96/273.15 = 115.04/x
  3. Step 3: Cross multiply
    197.96x = 273.15 × 115.04
  4. Step 4: Simplify right side
    197.96x = 31,423.86
  5. Step 5: Solve for x
    x = 31,423.86/197.96
  6. Step 6: Final answer
    x = 158.74

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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.