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Finding the Fourth Proportional to 327.34, 451.57 and 202.95

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Solution

The fourth proportional to 327.34, 451.57 and 202.95 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.34 : 451.57 = 202.95 : x
  2. Step 2: Convert to fraction form
    327.34/451.57 = 202.95/x
  3. Step 3: Cross multiply
    327.34x = 451.57 × 202.95
  4. Step 4: Simplify right side
    327.34x = 91,646.13
  5. Step 5: Solve for x
    x = 91,646.13/327.34
  6. Step 6: Final answer
    x = 279.98

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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.