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Finding the Fourth Proportional to 234.15, 323.02 and 140.86

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Solution

The fourth proportional to 234.15, 323.02 and 140.86 is: 194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.15 : 323.02 = 140.86 : x
  2. Step 2: Convert to fraction form
    234.15/323.02 = 140.86/x
  3. Step 3: Cross multiply
    234.15x = 323.02 × 140.86
  4. Step 4: Simplify right side
    234.15x = 45,500.60
  5. Step 5: Solve for x
    x = 45,500.60/234.15
  6. Step 6: Final answer
    x = 194.32

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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.