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Finding the Fourth Proportional to 326.86, 451.06 and 177.48

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Solution

The fourth proportional to 326.86, 451.06 and 177.48 is: 244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.86 : 451.06 = 177.48 : x
  2. Step 2: Convert to fraction form
    326.86/451.06 = 177.48/x
  3. Step 3: Cross multiply
    326.86x = 451.06 × 177.48
  4. Step 4: Simplify right side
    326.86x = 80,053.69
  5. Step 5: Solve for x
    x = 80,053.69/326.86
  6. Step 6: Final answer
    x = 244.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.