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Finding the Fourth Proportional to 326.98, 490.71 and 164.57

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Solution

The fourth proportional to 326.98, 490.71 and 164.57 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.98 : 490.71 = 164.57 : x
  2. Step 2: Convert to fraction form
    326.98/490.71 = 164.57/x
  3. Step 3: Cross multiply
    326.98x = 490.71 × 164.57
  4. Step 4: Simplify right side
    326.98x = 80,756.14
  5. Step 5: Solve for x
    x = 80,756.14/326.98
  6. Step 6: Final answer
    x = 246.98

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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.