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Finding the Fourth Proportional to 327.27, 491.06 and 165.07

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Solution

The fourth proportional to 327.27, 491.06 and 165.07 is: 247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.27 : 491.06 = 165.07 : x
  2. Step 2: Convert to fraction form
    327.27/491.06 = 165.07/x
  3. Step 3: Cross multiply
    327.27x = 491.06 × 165.07
  4. Step 4: Simplify right side
    327.27x = 81,059.27
  5. Step 5: Solve for x
    x = 81,059.27/327.27
  6. Step 6: Final answer
    x = 247.68

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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.