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Finding the Fourth Proportional to 188.97, 283.19 and 92.85

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Solution

The fourth proportional to 188.97, 283.19 and 92.85 is: 139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 283.19 = 92.85 : x
  2. Step 2: Convert to fraction form
    188.97/283.19 = 92.85/x
  3. Step 3: Cross multiply
    188.97x = 283.19 × 92.85
  4. Step 4: Simplify right side
    188.97x = 26,293.73
  5. Step 5: Solve for x
    x = 26,293.73/188.97
  6. Step 6: Final answer
    x = 139.14

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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.