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Finding the Fourth Proportional to 327.06, 451.44 and 194.22

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Solution

The fourth proportional to 327.06, 451.44 and 194.22 is: 268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 451.44 = 194.22 : x
  2. Step 2: Convert to fraction form
    327.06/451.44 = 194.22/x
  3. Step 3: Cross multiply
    327.06x = 451.44 × 194.22
  4. Step 4: Simplify right side
    327.06x = 87,678.68
  5. Step 5: Solve for x
    x = 87,678.68/327.06
  6. Step 6: Final answer
    x = 268.08

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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.