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Finding the Fourth Proportional to 232.08, 320.22 and 213.84

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Solution

The fourth proportional to 232.08, 320.22 and 213.84 is: 295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.08 : 320.22 = 213.84 : x
  2. Step 2: Convert to fraction form
    232.08/320.22 = 213.84/x
  3. Step 3: Cross multiply
    232.08x = 320.22 × 213.84
  4. Step 4: Simplify right side
    232.08x = 68,475.84
  5. Step 5: Solve for x
    x = 68,475.84/232.08
  6. Step 6: Final answer
    x = 295.05

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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.