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Finding the Fourth Proportional to 188.97, 283.20 and 80.64

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Solution

The fourth proportional to 188.97, 283.20 and 80.64 is: 120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 283.20 = 80.64 : x
  2. Step 2: Convert to fraction form
    188.97/283.20 = 80.64/x
  3. Step 3: Cross multiply
    188.97x = 283.20 × 80.64
  4. Step 4: Simplify right side
    188.97x = 22,837.25
  5. Step 5: Solve for x
    x = 22,837.25/188.97
  6. Step 6: Final answer
    x = 120.85

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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.