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Finding the Fourth Proportional to 255.25, 352.25 and 138.82

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Solution

The fourth proportional to 255.25, 352.25 and 138.82 is: 191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.25 : 352.25 = 138.82 : x
  2. Step 2: Convert to fraction form
    255.25/352.25 = 138.82/x
  3. Step 3: Cross multiply
    255.25x = 352.25 × 138.82
  4. Step 4: Simplify right side
    255.25x = 48,896.89
  5. Step 5: Solve for x
    x = 48,896.89/255.25
  6. Step 6: Final answer
    x = 191.56

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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.