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Finding the Fourth Proportional to 286.97, 396.00 and 162.65

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Solution

The fourth proportional to 286.97, 396.00 and 162.65 is: 224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.97 : 396.00 = 162.65 : x
  2. Step 2: Convert to fraction form
    286.97/396.00 = 162.65/x
  3. Step 3: Cross multiply
    286.97x = 396.00 × 162.65
  4. Step 4: Simplify right side
    286.97x = 64,408.19
  5. Step 5: Solve for x
    x = 64,408.19/286.97
  6. Step 6: Final answer
    x = 224.44

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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.