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Finding the Fourth Proportional to 326.66, 450.77 and 186.78

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Solution

The fourth proportional to 326.66, 450.77 and 186.78 is: 257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.66 : 450.77 = 186.78 : x
  2. Step 2: Convert to fraction form
    326.66/450.77 = 186.78/x
  3. Step 3: Cross multiply
    326.66x = 450.77 × 186.78
  4. Step 4: Simplify right side
    326.66x = 84,194.31
  5. Step 5: Solve for x
    x = 84,194.31/326.66
  6. Step 6: Final answer
    x = 257.74

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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.