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Finding the Fourth Proportional to 325.48, 449.16 and 178.13

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Solution

The fourth proportional to 325.48, 449.16 and 178.13 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.48 : 449.16 = 178.13 : x
  2. Step 2: Convert to fraction form
    325.48/449.16 = 178.13/x
  3. Step 3: Cross multiply
    325.48x = 449.16 × 178.13
  4. Step 4: Simplify right side
    325.48x = 80,006.63
  5. Step 5: Solve for x
    x = 80,006.63/325.48
  6. Step 6: Final answer
    x = 245.81

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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.