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Finding the Fourth Proportional to 234.77, 323.87 and 147.38

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Solution

The fourth proportional to 234.77, 323.87 and 147.38 is: 203.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.77 : 323.87 = 147.38 : x
  2. Step 2: Convert to fraction form
    234.77/323.87 = 147.38/x
  3. Step 3: Cross multiply
    234.77x = 323.87 × 147.38
  4. Step 4: Simplify right side
    234.77x = 47,729.60
  5. Step 5: Solve for x
    x = 47,729.60/234.77
  6. Step 6: Final answer
    x = 203.31

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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.