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Finding the Fourth Proportional to 326.91, 451.08 and 186.98

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Solution

The fourth proportional to 326.91, 451.08 and 186.98 is: 257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.91 : 451.08 = 186.98 : x
  2. Step 2: Convert to fraction form
    326.91/451.08 = 186.98/x
  3. Step 3: Cross multiply
    326.91x = 451.08 × 186.98
  4. Step 4: Simplify right side
    326.91x = 84,340.68
  5. Step 5: Solve for x
    x = 84,340.68/326.91
  6. Step 6: Final answer
    x = 257.99

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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.