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Finding the Fourth Proportional to 254.11, 380.86 and 109.73

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Solution

The fourth proportional to 254.11, 380.86 and 109.73 is: 164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.11 : 380.86 = 109.73 : x
  2. Step 2: Convert to fraction form
    254.11/380.86 = 109.73/x
  3. Step 3: Cross multiply
    254.11x = 380.86 × 109.73
  4. Step 4: Simplify right side
    254.11x = 41,791.77
  5. Step 5: Solve for x
    x = 41,791.77/254.11
  6. Step 6: Final answer
    x = 164.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.