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Finding the Fourth Proportional to 234.86, 324.12 and 135.27

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Solution

The fourth proportional to 234.86, 324.12 and 135.27 is: 186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.86 : 324.12 = 135.27 : x
  2. Step 2: Convert to fraction form
    234.86/324.12 = 135.27/x
  3. Step 3: Cross multiply
    234.86x = 324.12 × 135.27
  4. Step 4: Simplify right side
    234.86x = 43,843.71
  5. Step 5: Solve for x
    x = 43,843.71/234.86
  6. Step 6: Final answer
    x = 186.68

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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.