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Finding the Fourth Proportional to 255.96, 382.28 and 219.52

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Solution

The fourth proportional to 255.96, 382.28 and 219.52 is: 327.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 382.28 = 219.52 : x
  2. Step 2: Convert to fraction form
    255.96/382.28 = 219.52/x
  3. Step 3: Cross multiply
    255.96x = 382.28 × 219.52
  4. Step 4: Simplify right side
    255.96x = 83,918.11
  5. Step 5: Solve for x
    x = 83,918.11/255.96
  6. Step 6: Final answer
    x = 327.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.