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Finding the Fourth Proportional to 326.14, 450.07 and 178.78

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Solution

The fourth proportional to 326.14, 450.07 and 178.78 is: 246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.14 : 450.07 = 178.78 : x
  2. Step 2: Convert to fraction form
    326.14/450.07 = 178.78/x
  3. Step 3: Cross multiply
    326.14x = 450.07 × 178.78
  4. Step 4: Simplify right side
    326.14x = 80,463.51
  5. Step 5: Solve for x
    x = 80,463.51/326.14
  6. Step 6: Final answer
    x = 246.71

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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.