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Finding the Fourth Proportional to 254.48, 381.24 and 244.16

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Solution

The fourth proportional to 254.48, 381.24 and 244.16 is: 365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.48 : 381.24 = 244.16 : x
  2. Step 2: Convert to fraction form
    254.48/381.24 = 244.16/x
  3. Step 3: Cross multiply
    254.48x = 381.24 × 244.16
  4. Step 4: Simplify right side
    254.48x = 93,083.56
  5. Step 5: Solve for x
    x = 93,083.56/254.48
  6. Step 6: Final answer
    x = 365.78

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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.