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Finding the Fourth Proportional to 232.95, 321.80 and 206.76

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Solution

The fourth proportional to 232.95, 321.80 and 206.76 is: 285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.95 : 321.80 = 206.76 : x
  2. Step 2: Convert to fraction form
    232.95/321.80 = 206.76/x
  3. Step 3: Cross multiply
    232.95x = 321.80 × 206.76
  4. Step 4: Simplify right side
    232.95x = 66,535.37
  5. Step 5: Solve for x
    x = 66,535.37/232.95
  6. Step 6: Final answer
    x = 285.62

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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.