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Finding the Fourth Proportional to 326.76, 490.26 and 153.48

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Solution

The fourth proportional to 326.76, 490.26 and 153.48 is: 230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.76 : 490.26 = 153.48 : x
  2. Step 2: Convert to fraction form
    326.76/490.26 = 153.48/x
  3. Step 3: Cross multiply
    326.76x = 490.26 × 153.48
  4. Step 4: Simplify right side
    326.76x = 75,244.53
  5. Step 5: Solve for x
    x = 75,244.53/326.76
  6. Step 6: Final answer
    x = 230.28

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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.