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Finding the Fourth Proportional to 254.09, 350.37 and 219.23

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Solution

The fourth proportional to 254.09, 350.37 and 219.23 is: 302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 350.37 = 219.23 : x
  2. Step 2: Convert to fraction form
    254.09/350.37 = 219.23/x
  3. Step 3: Cross multiply
    254.09x = 350.37 × 219.23
  4. Step 4: Simplify right side
    254.09x = 76,809.86
  5. Step 5: Solve for x
    x = 76,809.86/254.09
  6. Step 6: Final answer
    x = 302.30

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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.