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Finding the Fourth Proportional to 326.22, 450.20 and 178.86

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Solution

The fourth proportional to 326.22, 450.20 and 178.86 is: 246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.22 : 450.20 = 178.86 : x
  2. Step 2: Convert to fraction form
    326.22/450.20 = 178.86/x
  3. Step 3: Cross multiply
    326.22x = 450.20 × 178.86
  4. Step 4: Simplify right side
    326.22x = 80,522.77
  5. Step 5: Solve for x
    x = 80,522.77/326.22
  6. Step 6: Final answer
    x = 246.84

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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.