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Finding the Fourth Proportional to 254.13, 380.82 and 109.68

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Solution

The fourth proportional to 254.13, 380.82 and 109.68 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.13 : 380.82 = 109.68 : x
  2. Step 2: Convert to fraction form
    254.13/380.82 = 109.68/x
  3. Step 3: Cross multiply
    254.13x = 380.82 × 109.68
  4. Step 4: Simplify right side
    254.13x = 41,768.34
  5. Step 5: Solve for x
    x = 41,768.34/254.13
  6. Step 6: Final answer
    x = 164.36

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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.