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Finding the Fourth Proportional to 327.07, 451.37 and 202.80

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Solution

The fourth proportional to 327.07, 451.37 and 202.80 is: 279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.07 : 451.37 = 202.80 : x
  2. Step 2: Convert to fraction form
    327.07/451.37 = 202.80/x
  3. Step 3: Cross multiply
    327.07x = 451.37 × 202.80
  4. Step 4: Simplify right side
    327.07x = 91,537.84
  5. Step 5: Solve for x
    x = 91,537.84/327.07
  6. Step 6: Final answer
    x = 279.87

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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.