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Finding the Fourth Proportional to 325.81, 449.57 and 185.94

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Solution

The fourth proportional to 325.81, 449.57 and 185.94 is: 256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.81 : 449.57 = 185.94 : x
  2. Step 2: Convert to fraction form
    325.81/449.57 = 185.94/x
  3. Step 3: Cross multiply
    325.81x = 449.57 × 185.94
  4. Step 4: Simplify right side
    325.81x = 83,589.87
  5. Step 5: Solve for x
    x = 83,589.87/325.81
  6. Step 6: Final answer
    x = 256.56

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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.