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Finding the Fourth Proportional to 234.92, 324.62 and 186.18

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Solution

The fourth proportional to 234.92, 324.62 and 186.18 is: 257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.92 : 324.62 = 186.18 : x
  2. Step 2: Convert to fraction form
    234.92/324.62 = 186.18/x
  3. Step 3: Cross multiply
    234.92x = 324.62 × 186.18
  4. Step 4: Simplify right side
    234.92x = 60,436.82
  5. Step 5: Solve for x
    x = 60,436.82/234.92
  6. Step 6: Final answer
    x = 257.27

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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.