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Finding the Fourth Proportional to 287.71, 396.86 and 189.29

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Solution

The fourth proportional to 287.71, 396.86 and 189.29 is: 261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.71 : 396.86 = 189.29 : x
  2. Step 2: Convert to fraction form
    287.71/396.86 = 189.29/x
  3. Step 3: Cross multiply
    287.71x = 396.86 × 189.29
  4. Step 4: Simplify right side
    287.71x = 75,121.68
  5. Step 5: Solve for x
    x = 75,121.68/287.71
  6. Step 6: Final answer
    x = 261.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.