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Finding the Fourth Proportional to 256, 352.52 and 255.24

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Solution

The fourth proportional to 256, 352.52 and 255.24 is: 351.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256 : 352.52 = 255.24 : x
  2. Step 2: Convert to fraction form
    256/352.52 = 255.24/x
  3. Step 3: Cross multiply
    256x = 352.52 × 255.24
  4. Step 4: Simplify right side
    256x = 89,977.20
  5. Step 5: Solve for x
    x = 89,977.20/256
  6. Step 6: Final answer
    x = 351.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.