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Finding the Fourth Proportional to 327.41, 491.30 and 165.11

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Solution

The fourth proportional to 327.41, 491.30 and 165.11 is: 247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.41 : 491.30 = 165.11 : x
  2. Step 2: Convert to fraction form
    327.41/491.30 = 165.11/x
  3. Step 3: Cross multiply
    327.41x = 491.30 × 165.11
  4. Step 4: Simplify right side
    327.41x = 81,116.50
  5. Step 5: Solve for x
    x = 81,116.50/327.41
  6. Step 6: Final answer
    x = 247.76

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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.