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Finding the Fourth Proportional to 321.95, 444.08 and 197.56

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Solution

The fourth proportional to 321.95, 444.08 and 197.56 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.95 : 444.08 = 197.56 : x
  2. Step 2: Convert to fraction form
    321.95/444.08 = 197.56/x
  3. Step 3: Cross multiply
    321.95x = 444.08 × 197.56
  4. Step 4: Simplify right side
    321.95x = 87,732.44
  5. Step 5: Solve for x
    x = 87,732.44/321.95
  6. Step 6: Final answer
    x = 272.50

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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.