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Finding the Fourth Proportional to 232.61, 321.36 and 182.99

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Solution

The fourth proportional to 232.61, 321.36 and 182.99 is: 252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.61 : 321.36 = 182.99 : x
  2. Step 2: Convert to fraction form
    232.61/321.36 = 182.99/x
  3. Step 3: Cross multiply
    232.61x = 321.36 × 182.99
  4. Step 4: Simplify right side
    232.61x = 58,804.06
  5. Step 5: Solve for x
    x = 58,804.06/232.61
  6. Step 6: Final answer
    x = 252.81

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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.