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Finding the Fourth Proportional to 327.15, 490.53 and 153.71

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Solution

The fourth proportional to 327.15, 490.53 and 153.71 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.15 : 490.53 = 153.71 : x
  2. Step 2: Convert to fraction form
    327.15/490.53 = 153.71/x
  3. Step 3: Cross multiply
    327.15x = 490.53 × 153.71
  4. Step 4: Simplify right side
    327.15x = 75,399.82
  5. Step 5: Solve for x
    x = 75,399.82/327.15
  6. Step 6: Final answer
    x = 230.47

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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.