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Finding the Fourth Proportional to 254.26, 350.87 and 143.74

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Solution

The fourth proportional to 254.26, 350.87 and 143.74 is: 198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.26 : 350.87 = 143.74 : x
  2. Step 2: Convert to fraction form
    254.26/350.87 = 143.74/x
  3. Step 3: Cross multiply
    254.26x = 350.87 × 143.74
  4. Step 4: Simplify right side
    254.26x = 50,433.34
  5. Step 5: Solve for x
    x = 50,433.34/254.26
  6. Step 6: Final answer
    x = 198.35

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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.