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Finding the Fourth Proportional to 327.52, 491.08 and 165.12

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Solution

The fourth proportional to 327.52, 491.08 and 165.12 is: 247.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.52 : 491.08 = 165.12 : x
  2. Step 2: Convert to fraction form
    327.52/491.08 = 165.12/x
  3. Step 3: Cross multiply
    327.52x = 491.08 × 165.12
  4. Step 4: Simplify right side
    327.52x = 81,087.13
  5. Step 5: Solve for x
    x = 81,087.13/327.52
  6. Step 6: Final answer
    x = 247.58

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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.