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Finding the Fourth Proportional to 327.05, 451.35 and 179.70

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Solution

The fourth proportional to 327.05, 451.35 and 179.70 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.05 : 451.35 = 179.70 : x
  2. Step 2: Convert to fraction form
    327.05/451.35 = 179.70/x
  3. Step 3: Cross multiply
    327.05x = 451.35 × 179.70
  4. Step 4: Simplify right side
    327.05x = 81,107.60
  5. Step 5: Solve for x
    x = 81,107.60/327.05
  6. Step 6: Final answer
    x = 248.00

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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.