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Finding the Fourth Proportional to 326.42, 450.41 and 186.49

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Solution

The fourth proportional to 326.42, 450.41 and 186.49 is: 257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.42 : 450.41 = 186.49 : x
  2. Step 2: Convert to fraction form
    326.42/450.41 = 186.49/x
  3. Step 3: Cross multiply
    326.42x = 450.41 × 186.49
  4. Step 4: Simplify right side
    326.42x = 83,996.96
  5. Step 5: Solve for x
    x = 83,996.96/326.42
  6. Step 6: Final answer
    x = 257.33

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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.