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Finding the Fourth Proportional to 197.76, 296.16 and 101.44

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Solution

The fourth proportional to 197.76, 296.16 and 101.44 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.76 : 296.16 = 101.44 : x
  2. Step 2: Convert to fraction form
    197.76/296.16 = 101.44/x
  3. Step 3: Cross multiply
    197.76x = 296.16 × 101.44
  4. Step 4: Simplify right side
    197.76x = 30,042.47
  5. Step 5: Solve for x
    x = 30,042.47/197.76
  6. Step 6: Final answer
    x = 151.91

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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.