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Finding the Fourth Proportional to 254.64, 351.36 and 167.25

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Solution

The fourth proportional to 254.64, 351.36 and 167.25 is: 230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.64 : 351.36 = 167.25 : x
  2. Step 2: Convert to fraction form
    254.64/351.36 = 167.25/x
  3. Step 3: Cross multiply
    254.64x = 351.36 × 167.25
  4. Step 4: Simplify right side
    254.64x = 58,764.96
  5. Step 5: Solve for x
    x = 58,764.96/254.64
  6. Step 6: Final answer
    x = 230.78

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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.