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Finding the Fourth Proportional to 189.21, 283.78 and 73.70

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Solution

The fourth proportional to 189.21, 283.78 and 73.70 is: 110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.21 : 283.78 = 73.70 : x
  2. Step 2: Convert to fraction form
    189.21/283.78 = 73.70/x
  3. Step 3: Cross multiply
    189.21x = 283.78 × 73.70
  4. Step 4: Simplify right side
    189.21x = 20,914.22
  5. Step 5: Solve for x
    x = 20,914.22/189.21
  6. Step 6: Final answer
    x = 110.54

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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.