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Finding the Fourth Proportional to 255.90, 353.14 and 167.44

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Solution

The fourth proportional to 255.90, 353.14 and 167.44 is: 231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.90 : 353.14 = 167.44 : x
  2. Step 2: Convert to fraction form
    255.90/353.14 = 167.44/x
  3. Step 3: Cross multiply
    255.90x = 353.14 × 167.44
  4. Step 4: Simplify right side
    255.90x = 59,128.46
  5. Step 5: Solve for x
    x = 59,128.46/255.90
  6. Step 6: Final answer
    x = 231.06

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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.