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Finding the Fourth Proportional to 254.96, 381.24 and 219.44

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Solution

The fourth proportional to 254.96, 381.24 and 219.44 is: 328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.96 : 381.24 = 219.44 : x
  2. Step 2: Convert to fraction form
    254.96/381.24 = 219.44/x
  3. Step 3: Cross multiply
    254.96x = 381.24 × 219.44
  4. Step 4: Simplify right side
    254.96x = 83,659.31
  5. Step 5: Solve for x
    x = 83,659.31/254.96
  6. Step 6: Final answer
    x = 328.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.