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Finding the Fourth Proportional to 254.56, 351.28 and 144.05

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Solution

The fourth proportional to 254.56, 351.28 and 144.05 is: 198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.56 : 351.28 = 144.05 : x
  2. Step 2: Convert to fraction form
    254.56/351.28 = 144.05/x
  3. Step 3: Cross multiply
    254.56x = 351.28 × 144.05
  4. Step 4: Simplify right side
    254.56x = 50,601.88
  5. Step 5: Solve for x
    x = 50,601.88/254.56
  6. Step 6: Final answer
    x = 198.78

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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.