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Finding the Fourth Proportional to 321.71, 444.05 and 195.72

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Solution

The fourth proportional to 321.71, 444.05 and 195.72 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.71 : 444.05 = 195.72 : x
  2. Step 2: Convert to fraction form
    321.71/444.05 = 195.72/x
  3. Step 3: Cross multiply
    321.71x = 444.05 × 195.72
  4. Step 4: Simplify right side
    321.71x = 86,907.56
  5. Step 5: Solve for x
    x = 86,907.56/321.71
  6. Step 6: Final answer
    x = 270.15

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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.