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Finding the Fourth Proportional to 234.92, 324.22 and 131.44

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Solution

The fourth proportional to 234.92, 324.22 and 131.44 is: 181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.92 : 324.22 = 131.44 : x
  2. Step 2: Convert to fraction form
    234.92/324.22 = 131.44/x
  3. Step 3: Cross multiply
    234.92x = 324.22 × 131.44
  4. Step 4: Simplify right side
    234.92x = 42,615.48
  5. Step 5: Solve for x
    x = 42,615.48/234.92
  6. Step 6: Final answer
    x = 181.40

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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.