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Finding the Fourth Proportional to 234.84, 323.96 and 141.56

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Solution

The fourth proportional to 234.84, 323.96 and 141.56 is: 195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 323.96 = 141.56 : x
  2. Step 2: Convert to fraction form
    234.84/323.96 = 141.56/x
  3. Step 3: Cross multiply
    234.84x = 323.96 × 141.56
  4. Step 4: Simplify right side
    234.84x = 45,859.78
  5. Step 5: Solve for x
    x = 45,859.78/234.84
  6. Step 6: Final answer
    x = 195.28

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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.