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Finding the Fourth Proportional to 326.28, 450.24 and 186.40

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Solution

The fourth proportional to 326.28, 450.24 and 186.40 is: 257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.28 : 450.24 = 186.40 : x
  2. Step 2: Convert to fraction form
    326.28/450.24 = 186.40/x
  3. Step 3: Cross multiply
    326.28x = 450.24 × 186.40
  4. Step 4: Simplify right side
    326.28x = 83,924.74
  5. Step 5: Solve for x
    x = 83,924.74/326.28
  6. Step 6: Final answer
    x = 257.22

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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.