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Finding the Fourth Proportional to 326.97, 490.46 and 121.64

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Solution

The fourth proportional to 326.97, 490.46 and 121.64 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.97 : 490.46 = 121.64 : x
  2. Step 2: Convert to fraction form
    326.97/490.46 = 121.64/x
  3. Step 3: Cross multiply
    326.97x = 490.46 × 121.64
  4. Step 4: Simplify right side
    326.97x = 59,656.49
  5. Step 5: Solve for x
    x = 59,656.49/326.97
  6. Step 6: Final answer
    x = 182.45

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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.