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Finding the Fourth Proportional to 254.75, 351.62 and 144.27

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Solution

The fourth proportional to 254.75, 351.62 and 144.27 is: 199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 351.62 = 144.27 : x
  2. Step 2: Convert to fraction form
    254.75/351.62 = 144.27/x
  3. Step 3: Cross multiply
    254.75x = 351.62 × 144.27
  4. Step 4: Simplify right side
    254.75x = 50,727.50
  5. Step 5: Solve for x
    x = 50,727.50/254.75
  6. Step 6: Final answer
    x = 199.13

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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.