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Finding the Fourth Proportional to 255.25, 352.26 and 151.75

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Solution

The fourth proportional to 255.25, 352.26 and 151.75 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.25 : 352.26 = 151.75 : x
  2. Step 2: Convert to fraction form
    255.25/352.26 = 151.75/x
  3. Step 3: Cross multiply
    255.25x = 352.26 × 151.75
  4. Step 4: Simplify right side
    255.25x = 53,455.46
  5. Step 5: Solve for x
    x = 53,455.46/255.25
  6. Step 6: Final answer
    x = 209.42

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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.