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Finding the Fourth Proportional to 254.50, 350.44 and 217.57

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Solution

The fourth proportional to 254.50, 350.44 and 217.57 is: 299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 350.44 = 217.57 : x
  2. Step 2: Convert to fraction form
    254.50/350.44 = 217.57/x
  3. Step 3: Cross multiply
    254.50x = 350.44 × 217.57
  4. Step 4: Simplify right side
    254.50x = 76,245.23
  5. Step 5: Solve for x
    x = 76,245.23/254.50
  6. Step 6: Final answer
    x = 299.59

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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.