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Finding the Fourth Proportional to 327.18, 490.80 and 134.76

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Solution

The fourth proportional to 327.18, 490.80 and 134.76 is: 202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.18 : 490.80 = 134.76 : x
  2. Step 2: Convert to fraction form
    327.18/490.80 = 134.76/x
  3. Step 3: Cross multiply
    327.18x = 490.80 × 134.76
  4. Step 4: Simplify right side
    327.18x = 66,140.21
  5. Step 5: Solve for x
    x = 66,140.21/327.18
  6. Step 6: Final answer
    x = 202.15

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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.