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Finding the Fourth Proportional to 326.05, 449.95 and 178.69

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Solution

The fourth proportional to 326.05, 449.95 and 178.69 is: 246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.05 : 449.95 = 178.69 : x
  2. Step 2: Convert to fraction form
    326.05/449.95 = 178.69/x
  3. Step 3: Cross multiply
    326.05x = 449.95 × 178.69
  4. Step 4: Simplify right side
    326.05x = 80,400.16
  5. Step 5: Solve for x
    x = 80,400.16/326.05
  6. Step 6: Final answer
    x = 246.59

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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.