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Finding the Fourth Proportional to 325.45, 449.13 and 178.08

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Solution

The fourth proportional to 325.45, 449.13 and 178.08 is: 245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.45 : 449.13 = 178.08 : x
  2. Step 2: Convert to fraction form
    325.45/449.13 = 178.08/x
  3. Step 3: Cross multiply
    325.45x = 449.13 × 178.08
  4. Step 4: Simplify right side
    325.45x = 79,980.18
  5. Step 5: Solve for x
    x = 79,980.18/325.45
  6. Step 6: Final answer
    x = 245.76

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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.