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Finding the Fourth Proportional to 234.91, 323.90 and 164.95

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Solution

The fourth proportional to 234.91, 323.90 and 164.95 is: 227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.91 : 323.90 = 164.95 : x
  2. Step 2: Convert to fraction form
    234.91/323.90 = 164.95/x
  3. Step 3: Cross multiply
    234.91x = 323.90 × 164.95
  4. Step 4: Simplify right side
    234.91x = 53,425.67
  5. Step 5: Solve for x
    x = 53,425.67/234.91
  6. Step 6: Final answer
    x = 227.43

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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.