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Finding the Fourth Proportional to 234.38, 351.02 and 197.94

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Solution

The fourth proportional to 234.38, 351.02 and 197.94 is: 296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.38 : 351.02 = 197.94 : x
  2. Step 2: Convert to fraction form
    234.38/351.02 = 197.94/x
  3. Step 3: Cross multiply
    234.38x = 351.02 × 197.94
  4. Step 4: Simplify right side
    234.38x = 69,480.90
  5. Step 5: Solve for x
    x = 69,480.90/234.38
  6. Step 6: Final answer
    x = 296.45

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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.