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Finding the Fourth Proportional to 234.12, 323.02 and 135.84

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Solution

The fourth proportional to 234.12, 323.02 and 135.84 is: 187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.12 : 323.02 = 135.84 : x
  2. Step 2: Convert to fraction form
    234.12/323.02 = 135.84/x
  3. Step 3: Cross multiply
    234.12x = 323.02 × 135.84
  4. Step 4: Simplify right side
    234.12x = 43,878.36
  5. Step 5: Solve for x
    x = 43,878.36/234.12
  6. Step 6: Final answer
    x = 187.42

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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.