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Finding the Fourth Proportional to 327.51, 490.95 and 164.97

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Solution

The fourth proportional to 327.51, 490.95 and 164.97 is: 247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.51 : 490.95 = 164.97 : x
  2. Step 2: Convert to fraction form
    327.51/490.95 = 164.97/x
  3. Step 3: Cross multiply
    327.51x = 490.95 × 164.97
  4. Step 4: Simplify right side
    327.51x = 80,992.02
  5. Step 5: Solve for x
    x = 80,992.02/327.51
  6. Step 6: Final answer
    x = 247.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.