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Finding the Fourth Proportional to 197.03, 295.65 and 105.71

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Solution

The fourth proportional to 197.03, 295.65 and 105.71 is: 158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.03 : 295.65 = 105.71 : x
  2. Step 2: Convert to fraction form
    197.03/295.65 = 105.71/x
  3. Step 3: Cross multiply
    197.03x = 295.65 × 105.71
  4. Step 4: Simplify right side
    197.03x = 31,251.68
  5. Step 5: Solve for x
    x = 31,251.68/197.03
  6. Step 6: Final answer
    x = 158.61

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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.