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Finding the Fourth Proportional to 232.36, 321.08 and 182.70

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Solution

The fourth proportional to 232.36, 321.08 and 182.70 is: 252.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.36 : 321.08 = 182.70 : x
  2. Step 2: Convert to fraction form
    232.36/321.08 = 182.70/x
  3. Step 3: Cross multiply
    232.36x = 321.08 × 182.70
  4. Step 4: Simplify right side
    232.36x = 58,660.40
  5. Step 5: Solve for x
    x = 58,660.40/232.36
  6. Step 6: Final answer
    x = 252.45

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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.