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Finding the Fourth Proportional to 197.83, 273 and 114.94

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Solution

The fourth proportional to 197.83, 273 and 114.94 is: 158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.83 : 273 = 114.94 : x
  2. Step 2: Convert to fraction form
    197.83/273 = 114.94/x
  3. Step 3: Cross multiply
    197.83x = 273 × 114.94
  4. Step 4: Simplify right side
    197.83x = 31,377.94
  5. Step 5: Solve for x
    x = 31,377.94/197.83
  6. Step 6: Final answer
    x = 158.61

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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.