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Finding the Fourth Proportional to 327.19, 451.56 and 179.86

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Solution

The fourth proportional to 327.19, 451.56 and 179.86 is: 248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.19 : 451.56 = 179.86 : x
  2. Step 2: Convert to fraction form
    327.19/451.56 = 179.86/x
  3. Step 3: Cross multiply
    327.19x = 451.56 × 179.86
  4. Step 4: Simplify right side
    327.19x = 81,214.93
  5. Step 5: Solve for x
    x = 81,214.93/327.19
  6. Step 6: Final answer
    x = 248.22

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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.