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Finding the Fourth Proportional to 232.22, 346.64 and 205.20

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Solution

The fourth proportional to 232.22, 346.64 and 205.20 is: 306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.22 : 346.64 = 205.20 : x
  2. Step 2: Convert to fraction form
    232.22/346.64 = 205.20/x
  3. Step 3: Cross multiply
    232.22x = 346.64 × 205.20
  4. Step 4: Simplify right side
    232.22x = 71,129.50
  5. Step 5: Solve for x
    x = 71,129.50/232.22
  6. Step 6: Final answer
    x = 306.30

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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.