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Finding the Fourth Proportional to 255.26, 352.41 and 185.25

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Solution

The fourth proportional to 255.26, 352.41 and 185.25 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.26 : 352.41 = 185.25 : x
  2. Step 2: Convert to fraction form
    255.26/352.41 = 185.25/x
  3. Step 3: Cross multiply
    255.26x = 352.41 × 185.25
  4. Step 4: Simplify right side
    255.26x = 65,283.95
  5. Step 5: Solve for x
    x = 65,283.95/255.26
  6. Step 6: Final answer
    x = 255.75

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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.