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Finding the Fourth Proportional to 327.34, 451.61 and 199.54

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Solution

The fourth proportional to 327.34, 451.61 and 199.54 is: 275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.34 : 451.61 = 199.54 : x
  2. Step 2: Convert to fraction form
    327.34/451.61 = 199.54/x
  3. Step 3: Cross multiply
    327.34x = 451.61 × 199.54
  4. Step 4: Simplify right side
    327.34x = 90,113.26
  5. Step 5: Solve for x
    x = 90,113.26/327.34
  6. Step 6: Final answer
    x = 275.29

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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.