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Finding the Fourth Proportional to 188.49, 283.22 and 107.43

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Solution

The fourth proportional to 188.49, 283.22 and 107.43 is: 161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.49 : 283.22 = 107.43 : x
  2. Step 2: Convert to fraction form
    188.49/283.22 = 107.43/x
  3. Step 3: Cross multiply
    188.49x = 283.22 × 107.43
  4. Step 4: Simplify right side
    188.49x = 30,425.79
  5. Step 5: Solve for x
    x = 30,425.79/188.49
  6. Step 6: Final answer
    x = 161.42

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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.