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Finding the Fourth Proportional to 325.62, 449.38 and 178.27

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Solution

The fourth proportional to 325.62, 449.38 and 178.27 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.62 : 449.38 = 178.27 : x
  2. Step 2: Convert to fraction form
    325.62/449.38 = 178.27/x
  3. Step 3: Cross multiply
    325.62x = 449.38 × 178.27
  4. Step 4: Simplify right side
    325.62x = 80,110.07
  5. Step 5: Solve for x
    x = 80,110.07/325.62
  6. Step 6: Final answer
    x = 246.02

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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.