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Finding the Fourth Proportional to 254.09, 380.31 and 138.26

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Solution

The fourth proportional to 254.09, 380.31 and 138.26 is: 206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 380.31 = 138.26 : x
  2. Step 2: Convert to fraction form
    254.09/380.31 = 138.26/x
  3. Step 3: Cross multiply
    254.09x = 380.31 × 138.26
  4. Step 4: Simplify right side
    254.09x = 52,581.66
  5. Step 5: Solve for x
    x = 52,581.66/254.09
  6. Step 6: Final answer
    x = 206.94

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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.