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Finding the Fourth Proportional to 234.31, 323.31 and 146.98

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Solution

The fourth proportional to 234.31, 323.31 and 146.98 is: 202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.31 : 323.31 = 146.98 : x
  2. Step 2: Convert to fraction form
    234.31/323.31 = 146.98/x
  3. Step 3: Cross multiply
    234.31x = 323.31 × 146.98
  4. Step 4: Simplify right side
    234.31x = 47,519.30
  5. Step 5: Solve for x
    x = 47,519.30/234.31
  6. Step 6: Final answer
    x = 202.81

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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.