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Finding the Fourth Proportional to 197.72, 296.57 and 106.46

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Solution

The fourth proportional to 197.72, 296.57 and 106.46 is: 159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 296.57 = 106.46 : x
  2. Step 2: Convert to fraction form
    197.72/296.57 = 106.46/x
  3. Step 3: Cross multiply
    197.72x = 296.57 × 106.46
  4. Step 4: Simplify right side
    197.72x = 31,571.36
  5. Step 5: Solve for x
    x = 31,571.36/197.72
  6. Step 6: Final answer
    x = 159.68

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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.