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Finding the Fourth Proportional to 327.86, 491.89 and 165.49

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Solution

The fourth proportional to 327.86, 491.89 and 165.49 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.86 : 491.89 = 165.49 : x
  2. Step 2: Convert to fraction form
    327.86/491.89 = 165.49/x
  3. Step 3: Cross multiply
    327.86x = 491.89 × 165.49
  4. Step 4: Simplify right side
    327.86x = 81,401.23
  5. Step 5: Solve for x
    x = 81,401.23/327.86
  6. Step 6: Final answer
    x = 248.28

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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.