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Finding the Fourth Proportional to 234.14, 323.10 and 135.89

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Solution

The fourth proportional to 234.14, 323.10 and 135.89 is: 187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 323.10 = 135.89 : x
  2. Step 2: Convert to fraction form
    234.14/323.10 = 135.89/x
  3. Step 3: Cross multiply
    234.14x = 323.10 × 135.89
  4. Step 4: Simplify right side
    234.14x = 43,904.44
  5. Step 5: Solve for x
    x = 43,904.44/234.14
  6. Step 6: Final answer
    x = 187.52

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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.