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Finding the Fourth Proportional to 327.74, 491.61 and 165.33

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Solution

The fourth proportional to 327.74, 491.61 and 165.33 is: 248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.74 : 491.61 = 165.33 : x
  2. Step 2: Convert to fraction form
    327.74/491.61 = 165.33/x
  3. Step 3: Cross multiply
    327.74x = 491.61 × 165.33
  4. Step 4: Simplify right side
    327.74x = 81,278.50
  5. Step 5: Solve for x
    x = 81,278.50/327.74
  6. Step 6: Final answer
    x = 248.00

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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.