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Finding the Fourth Proportional to 326.20, 450.16 and 178.83

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Solution

The fourth proportional to 326.20, 450.16 and 178.83 is: 246.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.20 : 450.16 = 178.83 : x
  2. Step 2: Convert to fraction form
    326.20/450.16 = 178.83/x
  3. Step 3: Cross multiply
    326.20x = 450.16 × 178.83
  4. Step 4: Simplify right side
    326.20x = 80,502.11
  5. Step 5: Solve for x
    x = 80,502.11/326.20
  6. Step 6: Final answer
    x = 246.79

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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.