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Finding the Fourth Proportional to 254.01, 380.83 and 107.64

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Solution

The fourth proportional to 254.01, 380.83 and 107.64 is: 161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.01 : 380.83 = 107.64 : x
  2. Step 2: Convert to fraction form
    254.01/380.83 = 107.64/x
  3. Step 3: Cross multiply
    254.01x = 380.83 × 107.64
  4. Step 4: Simplify right side
    254.01x = 40,992.71
  5. Step 5: Solve for x
    x = 40,992.71/254.01
  6. Step 6: Final answer
    x = 161.38

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