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Finding the Fourth Proportional to 188.97, 283.46 and 80.76

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Solution

The fourth proportional to 188.97, 283.46 and 80.76 is: 121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.97 : 283.46 = 80.76 : x
  2. Step 2: Convert to fraction form
    188.97/283.46 = 80.76/x
  3. Step 3: Cross multiply
    188.97x = 283.46 × 80.76
  4. Step 4: Simplify right side
    188.97x = 22,892.89
  5. Step 5: Solve for x
    x = 22,892.89/188.97
  6. Step 6: Final answer
    x = 121.15

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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.