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Finding the Fourth Proportional to 232.94, 321.20 and 214.44

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Solution

The fourth proportional to 232.94, 321.20 and 214.44 is: 295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.94 : 321.20 = 214.44 : x
  2. Step 2: Convert to fraction form
    232.94/321.20 = 214.44/x
  3. Step 3: Cross multiply
    232.94x = 321.20 × 214.44
  4. Step 4: Simplify right side
    232.94x = 68,878.13
  5. Step 5: Solve for x
    x = 68,878.13/232.94
  6. Step 6: Final answer
    x = 295.69

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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.