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Finding the Fourth Proportional to 287.54, 396.79 and 189.30

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Solution

The fourth proportional to 287.54, 396.79 and 189.30 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.54 : 396.79 = 189.30 : x
  2. Step 2: Convert to fraction form
    287.54/396.79 = 189.30/x
  3. Step 3: Cross multiply
    287.54x = 396.79 × 189.30
  4. Step 4: Simplify right side
    287.54x = 75,111.87
  5. Step 5: Solve for x
    x = 75,111.87/287.54
  6. Step 6: Final answer
    x = 261.23

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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.