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Finding the Fourth Proportional to 254.75, 382.25 and 194.24

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Solution

The fourth proportional to 254.75, 382.25 and 194.24 is: 291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 382.25 = 194.24 : x
  2. Step 2: Convert to fraction form
    254.75/382.25 = 194.24/x
  3. Step 3: Cross multiply
    254.75x = 382.25 × 194.24
  4. Step 4: Simplify right side
    254.75x = 74,249.68
  5. Step 5: Solve for x
    x = 74,249.68/254.75
  6. Step 6: Final answer
    x = 291.47

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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.