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Finding the Fourth Proportional to 255.22, 352.04 and 171.20

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Solution

The fourth proportional to 255.22, 352.04 and 171.20 is: 236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.22 : 352.04 = 171.20 : x
  2. Step 2: Convert to fraction form
    255.22/352.04 = 171.20/x
  3. Step 3: Cross multiply
    255.22x = 352.04 × 171.20
  4. Step 4: Simplify right side
    255.22x = 60,269.25
  5. Step 5: Solve for x
    x = 60,269.25/255.22
  6. Step 6: Final answer
    x = 236.15

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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.