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Finding the Fourth Proportional to 281.78, 388.87 and 171.15

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Solution

The fourth proportional to 281.78, 388.87 and 171.15 is: 236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.78 : 388.87 = 171.15 : x
  2. Step 2: Convert to fraction form
    281.78/388.87 = 171.15/x
  3. Step 3: Cross multiply
    281.78x = 388.87 × 171.15
  4. Step 4: Simplify right side
    281.78x = 66,553.21
  5. Step 5: Solve for x
    x = 66,553.21/281.78
  6. Step 6: Final answer
    x = 236.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.