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Finding the Fourth Proportional to 254.52, 381.27 and 196.54

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Solution

The fourth proportional to 254.52, 381.27 and 196.54 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.52 : 381.27 = 196.54 : x
  2. Step 2: Convert to fraction form
    254.52/381.27 = 196.54/x
  3. Step 3: Cross multiply
    254.52x = 381.27 × 196.54
  4. Step 4: Simplify right side
    254.52x = 74,934.81
  5. Step 5: Solve for x
    x = 74,934.81/254.52
  6. Step 6: Final answer
    x = 294.42

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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.