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Finding the Fourth Proportional to 197.93, 273.11 and 115.03

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Solution

The fourth proportional to 197.93, 273.11 and 115.03 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.93 : 273.11 = 115.03 : x
  2. Step 2: Convert to fraction form
    197.93/273.11 = 115.03/x
  3. Step 3: Cross multiply
    197.93x = 273.11 × 115.03
  4. Step 4: Simplify right side
    197.93x = 31,415.84
  5. Step 5: Solve for x
    x = 31,415.84/197.93
  6. Step 6: Final answer
    x = 158.72

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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.