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Finding the Fourth Proportional to 326.90, 451.05 and 194.05

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Solution

The fourth proportional to 326.90, 451.05 and 194.05 is: 267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.90 : 451.05 = 194.05 : x
  2. Step 2: Convert to fraction form
    326.90/451.05 = 194.05/x
  3. Step 3: Cross multiply
    326.90x = 451.05 × 194.05
  4. Step 4: Simplify right side
    326.90x = 87,525.28
  5. Step 5: Solve for x
    x = 87,525.28/326.90
  6. Step 6: Final answer
    x = 267.75

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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.