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Finding the Fourth Proportional to 189.12, 283.83 and 97.84

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Solution

The fourth proportional to 189.12, 283.83 and 97.84 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.12 : 283.83 = 97.84 : x
  2. Step 2: Convert to fraction form
    189.12/283.83 = 97.84/x
  3. Step 3: Cross multiply
    189.12x = 283.83 × 97.84
  4. Step 4: Simplify right side
    189.12x = 27,769.22
  5. Step 5: Solve for x
    x = 27,769.22/189.12
  6. Step 6: Final answer
    x = 146.83

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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.