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Finding the Fourth Proportional to 325.96, 449.94 and 193.18

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Solution

The fourth proportional to 325.96, 449.94 and 193.18 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.96 : 449.94 = 193.18 : x
  2. Step 2: Convert to fraction form
    325.96/449.94 = 193.18/x
  3. Step 3: Cross multiply
    325.96x = 449.94 × 193.18
  4. Step 4: Simplify right side
    325.96x = 86,919.41
  5. Step 5: Solve for x
    x = 86,919.41/325.96
  6. Step 6: Final answer
    x = 266.66

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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.