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Finding the Fourth Proportional to 281.44, 388.46 and 165.06

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Solution

The fourth proportional to 281.44, 388.46 and 165.06 is: 227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.44 : 388.46 = 165.06 : x
  2. Step 2: Convert to fraction form
    281.44/388.46 = 165.06/x
  3. Step 3: Cross multiply
    281.44x = 388.46 × 165.06
  4. Step 4: Simplify right side
    281.44x = 64,119.21
  5. Step 5: Solve for x
    x = 64,119.21/281.44
  6. Step 6: Final answer
    x = 227.83

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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.