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Finding the Fourth Proportional to 327.25, 490.88 and 99.25

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Solution

The fourth proportional to 327.25, 490.88 and 99.25 is: 148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.25 : 490.88 = 99.25 : x
  2. Step 2: Convert to fraction form
    327.25/490.88 = 99.25/x
  3. Step 3: Cross multiply
    327.25x = 490.88 × 99.25
  4. Step 4: Simplify right side
    327.25x = 48,719.84
  5. Step 5: Solve for x
    x = 48,719.84/327.25
  6. Step 6: Final answer
    x = 148.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.