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Finding the Fourth Proportional to 254.09, 381.93 and 220.26

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Solution

The fourth proportional to 254.09, 381.93 and 220.26 is: 331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.09 : 381.93 = 220.26 : x
  2. Step 2: Convert to fraction form
    254.09/381.93 = 220.26/x
  3. Step 3: Cross multiply
    254.09x = 381.93 × 220.26
  4. Step 4: Simplify right side
    254.09x = 84,122.13
  5. Step 5: Solve for x
    x = 84,122.13/254.09
  6. Step 6: Final answer
    x = 331.08

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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.