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Finding the Fourth Proportional to 321.68, 443.76 and 205.20

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Solution

The fourth proportional to 321.68, 443.76 and 205.20 is: 283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.68 : 443.76 = 205.20 : x
  2. Step 2: Convert to fraction form
    321.68/443.76 = 205.20/x
  3. Step 3: Cross multiply
    321.68x = 443.76 × 205.20
  4. Step 4: Simplify right side
    321.68x = 91,059.55
  5. Step 5: Solve for x
    x = 91,059.55/321.68
  6. Step 6: Final answer
    x = 283.07

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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.