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Finding the Fourth Proportional to 326.31, 450.38 and 186.42

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Solution

The fourth proportional to 326.31, 450.38 and 186.42 is: 257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.31 : 450.38 = 186.42 : x
  2. Step 2: Convert to fraction form
    326.31/450.38 = 186.42/x
  3. Step 3: Cross multiply
    326.31x = 450.38 × 186.42
  4. Step 4: Simplify right side
    326.31x = 83,958.91
  5. Step 5: Solve for x
    x = 83,958.91/326.31
  6. Step 6: Final answer
    x = 257.30

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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.