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Finding the Fourth Proportional to 234.78, 323.76 and 141.54

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Solution

The fourth proportional to 234.78, 323.76 and 141.54 is: 195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.78 : 323.76 = 141.54 : x
  2. Step 2: Convert to fraction form
    234.78/323.76 = 141.54/x
  3. Step 3: Cross multiply
    234.78x = 323.76 × 141.54
  4. Step 4: Simplify right side
    234.78x = 45,824.99
  5. Step 5: Solve for x
    x = 45,824.99/234.78
  6. Step 6: Final answer
    x = 195.18

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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.