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Finding the Fourth Proportional to 188.92, 283.38 and 92.80

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Solution

The fourth proportional to 188.92, 283.38 and 92.80 is: 139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.92 : 283.38 = 92.80 : x
  2. Step 2: Convert to fraction form
    188.92/283.38 = 92.80/x
  3. Step 3: Cross multiply
    188.92x = 283.38 × 92.80
  4. Step 4: Simplify right side
    188.92x = 26,297.66
  5. Step 5: Solve for x
    x = 26,297.66/188.92
  6. Step 6: Final answer
    x = 139.20

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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.