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Finding the Fourth Proportional to 254.31, 381.33 and 108.11

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Solution

The fourth proportional to 254.31, 381.33 and 108.11 is: 162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.31 : 381.33 = 108.11 : x
  2. Step 2: Convert to fraction form
    254.31/381.33 = 108.11/x
  3. Step 3: Cross multiply
    254.31x = 381.33 × 108.11
  4. Step 4: Simplify right side
    254.31x = 41,223.68
  5. Step 5: Solve for x
    x = 41,223.68/254.31
  6. Step 6: Final answer
    x = 162.10

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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.