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Finding the Fourth Proportional to 234.15, 323.23 and 135.88

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Solution

The fourth proportional to 234.15, 323.23 and 135.88 is: 187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.15 : 323.23 = 135.88 : x
  2. Step 2: Convert to fraction form
    234.15/323.23 = 135.88/x
  3. Step 3: Cross multiply
    234.15x = 323.23 × 135.88
  4. Step 4: Simplify right side
    234.15x = 43,921.30
  5. Step 5: Solve for x
    x = 43,921.30/234.15
  6. Step 6: Final answer
    x = 187.58

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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.