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Finding the Fourth Proportional to 255.92, 351.36 and 234.04

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Solution

The fourth proportional to 255.92, 351.36 and 234.04 is: 321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.92 : 351.36 = 234.04 : x
  2. Step 2: Convert to fraction form
    255.92/351.36 = 234.04/x
  3. Step 3: Cross multiply
    255.92x = 351.36 × 234.04
  4. Step 4: Simplify right side
    255.92x = 82,232.29
  5. Step 5: Solve for x
    x = 82,232.29/255.92
  6. Step 6: Final answer
    x = 321.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.