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Finding the Fourth Proportional to 255.31, 352.27 and 144.75

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Solution

The fourth proportional to 255.31, 352.27 and 144.75 is: 199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.31 : 352.27 = 144.75 : x
  2. Step 2: Convert to fraction form
    255.31/352.27 = 144.75/x
  3. Step 3: Cross multiply
    255.31x = 352.27 × 144.75
  4. Step 4: Simplify right side
    255.31x = 50,989.68
  5. Step 5: Solve for x
    x = 50,989.68/255.31
  6. Step 6: Final answer
    x = 199.72

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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.