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Finding the Fourth Proportional to 327.46, 491.08 and 165.04

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Solution

The fourth proportional to 327.46, 491.08 and 165.04 is: 247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.46 : 491.08 = 165.04 : x
  2. Step 2: Convert to fraction form
    327.46/491.08 = 165.04/x
  3. Step 3: Cross multiply
    327.46x = 491.08 × 165.04
  4. Step 4: Simplify right side
    327.46x = 81,047.84
  5. Step 5: Solve for x
    x = 81,047.84/327.46
  6. Step 6: Final answer
    x = 247.50

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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.