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Finding the Fourth Proportional to 254.74, 351.56 and 144.24

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Solution

The fourth proportional to 254.74, 351.56 and 144.24 is: 199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.74 : 351.56 = 144.24 : x
  2. Step 2: Convert to fraction form
    254.74/351.56 = 144.24/x
  3. Step 3: Cross multiply
    254.74x = 351.56 × 144.24
  4. Step 4: Simplify right side
    254.74x = 50,708.29
  5. Step 5: Solve for x
    x = 50,708.29/254.74
  6. Step 6: Final answer
    x = 199.06

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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.