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Finding the Fourth Proportional to 286.14, 429.09 and 112.89

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Solution

The fourth proportional to 286.14, 429.09 and 112.89 is: 169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.14 : 429.09 = 112.89 : x
  2. Step 2: Convert to fraction form
    286.14/429.09 = 112.89/x
  3. Step 3: Cross multiply
    286.14x = 429.09 × 112.89
  4. Step 4: Simplify right side
    286.14x = 48,439.97
  5. Step 5: Solve for x
    x = 48,439.97/286.14
  6. Step 6: Final answer
    x = 169.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.