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Finding the Fourth Proportional to 327.36, 491.28 and 164.88

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Solution

The fourth proportional to 327.36, 491.28 and 164.88 is: 247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.36 : 491.28 = 164.88 : x
  2. Step 2: Convert to fraction form
    327.36/491.28 = 164.88/x
  3. Step 3: Cross multiply
    327.36x = 491.28 × 164.88
  4. Step 4: Simplify right side
    327.36x = 81,002.25
  5. Step 5: Solve for x
    x = 81,002.25/327.36
  6. Step 6: Final answer
    x = 247.44

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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.