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Finding the Fourth Proportional to 255.96, 352.17 and 218.97

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Solution

The fourth proportional to 255.96, 352.17 and 218.97 is: 301.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 352.17 = 218.97 : x
  2. Step 2: Convert to fraction form
    255.96/352.17 = 218.97/x
  3. Step 3: Cross multiply
    255.96x = 352.17 × 218.97
  4. Step 4: Simplify right side
    255.96x = 77,114.66
  5. Step 5: Solve for x
    x = 77,114.66/255.96
  6. Step 6: Final answer
    x = 301.28

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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.