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Finding the Fourth Proportional to 254.26, 381.12 and 211.06

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Solution

The fourth proportional to 254.26, 381.12 and 211.06 is: 316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.26 : 381.12 = 211.06 : x
  2. Step 2: Convert to fraction form
    254.26/381.12 = 211.06/x
  3. Step 3: Cross multiply
    254.26x = 381.12 × 211.06
  4. Step 4: Simplify right side
    254.26x = 80,439.19
  5. Step 5: Solve for x
    x = 80,439.19/254.26
  6. Step 6: Final answer
    x = 316.37

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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.