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Finding the Fourth Proportional to 255.09, 352.07 and 144.61

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Solution

The fourth proportional to 255.09, 352.07 and 144.61 is: 199.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.09 : 352.07 = 144.61 : x
  2. Step 2: Convert to fraction form
    255.09/352.07 = 144.61/x
  3. Step 3: Cross multiply
    255.09x = 352.07 × 144.61
  4. Step 4: Simplify right side
    255.09x = 50,912.84
  5. Step 5: Solve for x
    x = 50,912.84/255.09
  6. Step 6: Final answer
    x = 199.59

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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.