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Finding the Fourth Proportional to 255.44, 352.46 and 168.06

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Solution

The fourth proportional to 255.44, 352.46 and 168.06 is: 231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.44 : 352.46 = 168.06 : x
  2. Step 2: Convert to fraction form
    255.44/352.46 = 168.06/x
  3. Step 3: Cross multiply
    255.44x = 352.46 × 168.06
  4. Step 4: Simplify right side
    255.44x = 59,234.43
  5. Step 5: Solve for x
    x = 59,234.43/255.44
  6. Step 6: Final answer
    x = 231.89

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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.