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Finding the Fourth Proportional to 197.14, 296.64 and 167.38

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Solution

The fourth proportional to 197.14, 296.64 and 167.38 is: 251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 296.64 = 167.38 : x
  2. Step 2: Convert to fraction form
    197.14/296.64 = 167.38/x
  3. Step 3: Cross multiply
    197.14x = 296.64 × 167.38
  4. Step 4: Simplify right side
    197.14x = 49,651.60
  5. Step 5: Solve for x
    x = 49,651.60/197.14
  6. Step 6: Final answer
    x = 251.86

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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.