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Finding the Fourth Proportional to 327.48, 491.46 and 165.07

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Solution

The fourth proportional to 327.48, 491.46 and 165.07 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 491.46 = 165.07 : x
  2. Step 2: Convert to fraction form
    327.48/491.46 = 165.07/x
  3. Step 3: Cross multiply
    327.48x = 491.46 × 165.07
  4. Step 4: Simplify right side
    327.48x = 81,125.30
  5. Step 5: Solve for x
    x = 81,125.30/327.48
  6. Step 6: Final answer
    x = 247.73

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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.