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Finding the Fourth Proportional to 234.75, 323.99 and 136.56

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Solution

The fourth proportional to 234.75, 323.99 and 136.56 is: 188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.75 : 323.99 = 136.56 : x
  2. Step 2: Convert to fraction form
    234.75/323.99 = 136.56/x
  3. Step 3: Cross multiply
    234.75x = 323.99 × 136.56
  4. Step 4: Simplify right side
    234.75x = 44,244.59
  5. Step 5: Solve for x
    x = 44,244.59/234.75
  6. Step 6: Final answer
    x = 188.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.