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Finding the Fourth Proportional to 197.76, 296.22 and 182.58

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Solution

The fourth proportional to 197.76, 296.22 and 182.58 is: 273.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.76 : 296.22 = 182.58 : x
  2. Step 2: Convert to fraction form
    197.76/296.22 = 182.58/x
  3. Step 3: Cross multiply
    197.76x = 296.22 × 182.58
  4. Step 4: Simplify right side
    197.76x = 54,083.85
  5. Step 5: Solve for x
    x = 54,083.85/197.76
  6. Step 6: Final answer
    x = 273.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.