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Finding the Fourth Proportional to 281.96, 389.26 and 193.49

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Solution

The fourth proportional to 281.96, 389.26 and 193.49 is: 267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.96 : 389.26 = 193.49 : x
  2. Step 2: Convert to fraction form
    281.96/389.26 = 193.49/x
  3. Step 3: Cross multiply
    281.96x = 389.26 × 193.49
  4. Step 4: Simplify right side
    281.96x = 75,316.58
  5. Step 5: Solve for x
    x = 75,316.58/281.96
  6. Step 6: Final answer
    x = 267.12

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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.