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Finding the Fourth Proportional to 325.56, 449.14 and 194.44

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Solution

The fourth proportional to 325.56, 449.14 and 194.44 is: 268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.56 : 449.14 = 194.44 : x
  2. Step 2: Convert to fraction form
    325.56/449.14 = 194.44/x
  3. Step 3: Cross multiply
    325.56x = 449.14 × 194.44
  4. Step 4: Simplify right side
    325.56x = 87,330.78
  5. Step 5: Solve for x
    x = 87,330.78/325.56
  6. Step 6: Final answer
    x = 268.25

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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.