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Finding the Fourth Proportional to 326.81, 490.18 and 189.77

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Solution

The fourth proportional to 326.81, 490.18 and 189.77 is: 284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.81 : 490.18 = 189.77 : x
  2. Step 2: Convert to fraction form
    326.81/490.18 = 189.77/x
  3. Step 3: Cross multiply
    326.81x = 490.18 × 189.77
  4. Step 4: Simplify right side
    326.81x = 93,019.01
  5. Step 5: Solve for x
    x = 93,019.01/326.81
  6. Step 6: Final answer
    x = 284.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.