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Finding the Fourth Proportional to 188.78, 283.06 and 80.54

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Solution

The fourth proportional to 188.78, 283.06 and 80.54 is: 120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.78 : 283.06 = 80.54 : x
  2. Step 2: Convert to fraction form
    188.78/283.06 = 80.54/x
  3. Step 3: Cross multiply
    188.78x = 283.06 × 80.54
  4. Step 4: Simplify right side
    188.78x = 22,797.65
  5. Step 5: Solve for x
    x = 22,797.65/188.78
  6. Step 6: Final answer
    x = 120.76

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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.