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Finding the Fourth Proportional to 327.84, 491.64 and 165.42

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Solution

The fourth proportional to 327.84, 491.64 and 165.42 is: 248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.84 : 491.64 = 165.42 : x
  2. Step 2: Convert to fraction form
    327.84/491.64 = 165.42/x
  3. Step 3: Cross multiply
    327.84x = 491.64 × 165.42
  4. Step 4: Simplify right side
    327.84x = 81,327.09
  5. Step 5: Solve for x
    x = 81,327.09/327.84
  6. Step 6: Final answer
    x = 248.07

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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.