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Finding the Fourth Proportional to 286.98, 431.22 and 165.34

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Solution

The fourth proportional to 286.98, 431.22 and 165.34 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.98 : 431.22 = 165.34 : x
  2. Step 2: Convert to fraction form
    286.98/431.22 = 165.34/x
  3. Step 3: Cross multiply
    286.98x = 431.22 × 165.34
  4. Step 4: Simplify right side
    286.98x = 71,297.91
  5. Step 5: Solve for x
    x = 71,297.91/286.98
  6. Step 6: Final answer
    x = 248.44

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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.