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Finding the Fourth Proportional to 255.24, 352.25 and 144.74

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Solution

The fourth proportional to 255.24, 352.25 and 144.74 is: 199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.24 : 352.25 = 144.74 : x
  2. Step 2: Convert to fraction form
    255.24/352.25 = 144.74/x
  3. Step 3: Cross multiply
    255.24x = 352.25 × 144.74
  4. Step 4: Simplify right side
    255.24x = 50,983.94
  5. Step 5: Solve for x
    x = 50,983.94/255.24
  6. Step 6: Final answer
    x = 199.75

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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.