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Finding the Fourth Proportional to 287.44, 396.85 and 189.36

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Solution

The fourth proportional to 287.44, 396.85 and 189.36 is: 261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.44 : 396.85 = 189.36 : x
  2. Step 2: Convert to fraction form
    287.44/396.85 = 189.36/x
  3. Step 3: Cross multiply
    287.44x = 396.85 × 189.36
  4. Step 4: Simplify right side
    287.44x = 75,148.03
  5. Step 5: Solve for x
    x = 75,148.03/287.44
  6. Step 6: Final answer
    x = 261.44

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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.