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Finding the Fourth Proportional to 281.97, 389.15 and 171.46

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Solution

The fourth proportional to 281.97, 389.15 and 171.46 is: 236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.97 : 389.15 = 171.46 : x
  2. Step 2: Convert to fraction form
    281.97/389.15 = 171.46/x
  3. Step 3: Cross multiply
    281.97x = 389.15 × 171.46
  4. Step 4: Simplify right side
    281.97x = 66,723.11
  5. Step 5: Solve for x
    x = 66,723.11/281.97
  6. Step 6: Final answer
    x = 236.63

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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.