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Finding the Fourth Proportional to 326.18, 450.12 and 178.81

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Solution

The fourth proportional to 326.18, 450.12 and 178.81 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.18 : 450.12 = 178.81 : x
  2. Step 2: Convert to fraction form
    326.18/450.12 = 178.81/x
  3. Step 3: Cross multiply
    326.18x = 450.12 × 178.81
  4. Step 4: Simplify right side
    326.18x = 80,484.83
  5. Step 5: Solve for x
    x = 80,484.83/326.18
  6. Step 6: Final answer
    x = 246.75

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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.