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Finding the Fourth Proportional to 326.22, 450.21 and 193.46

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Solution

The fourth proportional to 326.22, 450.21 and 193.46 is: 266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.22 : 450.21 = 193.46 : x
  2. Step 2: Convert to fraction form
    326.22/450.21 = 193.46/x
  3. Step 3: Cross multiply
    326.22x = 450.21 × 193.46
  4. Step 4: Simplify right side
    326.22x = 87,097.63
  5. Step 5: Solve for x
    x = 87,097.63/326.22
  6. Step 6: Final answer
    x = 266.99

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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.