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Finding the Fourth Proportional to 326.68, 450.78 and 186.80

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Solution

The fourth proportional to 326.68, 450.78 and 186.80 is: 257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.68 : 450.78 = 186.80 : x
  2. Step 2: Convert to fraction form
    326.68/450.78 = 186.80/x
  3. Step 3: Cross multiply
    326.68x = 450.78 × 186.80
  4. Step 4: Simplify right side
    326.68x = 84,205.70
  5. Step 5: Solve for x
    x = 84,205.70/326.68
  6. Step 6: Final answer
    x = 257.76

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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.