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Finding the Fourth Proportional to 327.13, 450.91 and 248.19

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Solution

The fourth proportional to 327.13, 450.91 and 248.19 is: 342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.13 : 450.91 = 248.19 : x
  2. Step 2: Convert to fraction form
    327.13/450.91 = 248.19/x
  3. Step 3: Cross multiply
    327.13x = 450.91 × 248.19
  4. Step 4: Simplify right side
    327.13x = 111,909.97
  5. Step 5: Solve for x
    x = 111,909.97/327.13
  6. Step 6: Final answer
    x = 342.10

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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.