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Finding the Fourth Proportional to 197.87, 273.08 and 114.98

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Solution

The fourth proportional to 197.87, 273.08 and 114.98 is: 158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.87 : 273.08 = 114.98 : x
  2. Step 2: Convert to fraction form
    197.87/273.08 = 114.98/x
  3. Step 3: Cross multiply
    197.87x = 273.08 × 114.98
  4. Step 4: Simplify right side
    197.87x = 31,399.71
  5. Step 5: Solve for x
    x = 31,399.71/197.87
  6. Step 6: Final answer
    x = 158.69

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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.