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Finding the Fourth Proportional to 197.81, 296.84 and 106.57

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Solution

The fourth proportional to 197.81, 296.84 and 106.57 is: 159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.81 : 296.84 = 106.57 : x
  2. Step 2: Convert to fraction form
    197.81/296.84 = 106.57/x
  3. Step 3: Cross multiply
    197.81x = 296.84 × 106.57
  4. Step 4: Simplify right side
    197.81x = 31,633.26
  5. Step 5: Solve for x
    x = 31,633.26/197.81
  6. Step 6: Final answer
    x = 159.92

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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.