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Finding the Fourth Proportional to 327.68, 491.82 and 206.16

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Solution

The fourth proportional to 327.68, 491.82 and 206.16 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.68 : 491.82 = 206.16 : x
  2. Step 2: Convert to fraction form
    327.68/491.82 = 206.16/x
  3. Step 3: Cross multiply
    327.68x = 491.82 × 206.16
  4. Step 4: Simplify right side
    327.68x = 101,393.61
  5. Step 5: Solve for x
    x = 101,393.61/327.68
  6. Step 6: Final answer
    x = 309.43

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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.