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Finding the Fourth Proportional to 232.20, 346.68 and 208.44

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Solution

The fourth proportional to 232.20, 346.68 and 208.44 is: 311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 346.68 = 208.44 : x
  2. Step 2: Convert to fraction form
    232.20/346.68 = 208.44/x
  3. Step 3: Cross multiply
    232.20x = 346.68 × 208.44
  4. Step 4: Simplify right side
    232.20x = 72,261.98
  5. Step 5: Solve for x
    x = 72,261.98/232.20
  6. Step 6: Final answer
    x = 311.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.