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Finding the Fourth Proportional to 325.50, 449.19 and 178.14

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Solution

The fourth proportional to 325.50, 449.19 and 178.14 is: 245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.50 : 449.19 = 178.14 : x
  2. Step 2: Convert to fraction form
    325.50/449.19 = 178.14/x
  3. Step 3: Cross multiply
    325.50x = 449.19 × 178.14
  4. Step 4: Simplify right side
    325.50x = 80,017.73
  5. Step 5: Solve for x
    x = 80,017.73/325.50
  6. Step 6: Final answer
    x = 245.83

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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.