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Finding the Fourth Proportional to 327.52, 491.37 and 165.07

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Solution

The fourth proportional to 327.52, 491.37 and 165.07 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.52 : 491.37 = 165.07 : x
  2. Step 2: Convert to fraction form
    327.52/491.37 = 165.07/x
  3. Step 3: Cross multiply
    327.52x = 491.37 × 165.07
  4. Step 4: Simplify right side
    327.52x = 81,110.45
  5. Step 5: Solve for x
    x = 81,110.45/327.52
  6. Step 6: Final answer
    x = 247.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.