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Finding the Fourth Proportional to 327.92, 492.06 and 165.64

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Solution

The fourth proportional to 327.92, 492.06 and 165.64 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.92 : 492.06 = 165.64 : x
  2. Step 2: Convert to fraction form
    327.92/492.06 = 165.64/x
  3. Step 3: Cross multiply
    327.92x = 492.06 × 165.64
  4. Step 4: Simplify right side
    327.92x = 81,504.82
  5. Step 5: Solve for x
    x = 81,504.82/327.92
  6. Step 6: Final answer
    x = 248.55

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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.