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Finding the Fourth Proportional to 234.05, 323.00 and 135.82

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Solution

The fourth proportional to 234.05, 323.00 and 135.82 is: 187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.05 : 323.00 = 135.82 : x
  2. Step 2: Convert to fraction form
    234.05/323.00 = 135.82/x
  3. Step 3: Cross multiply
    234.05x = 323.00 × 135.82
  4. Step 4: Simplify right side
    234.05x = 43,868.28
  5. Step 5: Solve for x
    x = 43,868.28/234.05
  6. Step 6: Final answer
    x = 187.43

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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.