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Finding the Fourth Proportional to 189.22, 283.78 and 97.96

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Solution

The fourth proportional to 189.22, 283.78 and 97.96 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.22 : 283.78 = 97.96 : x
  2. Step 2: Convert to fraction form
    189.22/283.78 = 97.96/x
  3. Step 3: Cross multiply
    189.22x = 283.78 × 97.96
  4. Step 4: Simplify right side
    189.22x = 27,799.09
  5. Step 5: Solve for x
    x = 27,799.09/189.22
  6. Step 6: Final answer
    x = 146.91

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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.