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Finding the Fourth Proportional to 321.60, 443.76 and 205.12

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Solution

The fourth proportional to 321.60, 443.76 and 205.12 is: 283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.60 : 443.76 = 205.12 : x
  2. Step 2: Convert to fraction form
    321.60/443.76 = 205.12/x
  3. Step 3: Cross multiply
    321.60x = 443.76 × 205.12
  4. Step 4: Simplify right side
    321.60x = 91,024.05
  5. Step 5: Solve for x
    x = 91,024.05/321.60
  6. Step 6: Final answer
    x = 283.03

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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.