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Finding the Fourth Proportional to 327.30, 451.59 and 202.95

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Solution

The fourth proportional to 327.30, 451.59 and 202.95 is: 280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.30 : 451.59 = 202.95 : x
  2. Step 2: Convert to fraction form
    327.30/451.59 = 202.95/x
  3. Step 3: Cross multiply
    327.30x = 451.59 × 202.95
  4. Step 4: Simplify right side
    327.30x = 91,650.19
  5. Step 5: Solve for x
    x = 91,650.19/327.30
  6. Step 6: Final answer
    x = 280.02

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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.