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Finding the Fourth Proportional to 325.38, 449.01 and 178.02

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Solution

The fourth proportional to 325.38, 449.01 and 178.02 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.38 : 449.01 = 178.02 : x
  2. Step 2: Convert to fraction form
    325.38/449.01 = 178.02/x
  3. Step 3: Cross multiply
    325.38x = 449.01 × 178.02
  4. Step 4: Simplify right side
    325.38x = 79,932.76
  5. Step 5: Solve for x
    x = 79,932.76/325.38
  6. Step 6: Final answer
    x = 245.66

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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.