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Finding the Fourth Proportional to 327.97, 452.63 and 188.09

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Solution

The fourth proportional to 327.97, 452.63 and 188.09 is: 259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.97 : 452.63 = 188.09 : x
  2. Step 2: Convert to fraction form
    327.97/452.63 = 188.09/x
  3. Step 3: Cross multiply
    327.97x = 452.63 × 188.09
  4. Step 4: Simplify right side
    327.97x = 85,133.38
  5. Step 5: Solve for x
    x = 85,133.38/327.97
  6. Step 6: Final answer
    x = 259.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.