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Finding the Fourth Proportional to 254.23, 381.39 and 110.05

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Solution

The fourth proportional to 254.23, 381.39 and 110.05 is: 165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.23 : 381.39 = 110.05 : x
  2. Step 2: Convert to fraction form
    254.23/381.39 = 110.05/x
  3. Step 3: Cross multiply
    254.23x = 381.39 × 110.05
  4. Step 4: Simplify right side
    254.23x = 41,971.97
  5. Step 5: Solve for x
    x = 41,971.97/254.23
  6. Step 6: Final answer
    x = 165.09

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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.