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Finding the Fourth Proportional to 234.78, 323.42 and 197.94

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Solution

The fourth proportional to 234.78, 323.42 and 197.94 is: 272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.78 : 323.42 = 197.94 : x
  2. Step 2: Convert to fraction form
    234.78/323.42 = 197.94/x
  3. Step 3: Cross multiply
    234.78x = 323.42 × 197.94
  4. Step 4: Simplify right side
    234.78x = 64,017.75
  5. Step 5: Solve for x
    x = 64,017.75/234.78
  6. Step 6: Final answer
    x = 272.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.