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Finding the Fourth Proportional to 234.11, 323.01 and 135.90

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Solution

The fourth proportional to 234.11, 323.01 and 135.90 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.11 : 323.01 = 135.90 : x
  2. Step 2: Convert to fraction form
    234.11/323.01 = 135.90/x
  3. Step 3: Cross multiply
    234.11x = 323.01 × 135.90
  4. Step 4: Simplify right side
    234.11x = 43,897.06
  5. Step 5: Solve for x
    x = 43,897.06/234.11
  6. Step 6: Final answer
    x = 187.50

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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.