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Finding the Fourth Proportional to 234.26, 323.22 and 146.95

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Solution

The fourth proportional to 234.26, 323.22 and 146.95 is: 202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.26 : 323.22 = 146.95 : x
  2. Step 2: Convert to fraction form
    234.26/323.22 = 146.95/x
  3. Step 3: Cross multiply
    234.26x = 323.22 × 146.95
  4. Step 4: Simplify right side
    234.26x = 47,496.92
  5. Step 5: Solve for x
    x = 47,496.92/234.26
  6. Step 6: Final answer
    x = 202.75

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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.