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Finding the Fourth Proportional to 183.05, 274.19 and 109.70

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Solution

The fourth proportional to 183.05, 274.19 and 109.70 is: 164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.05 : 274.19 = 109.70 : x
  2. Step 2: Convert to fraction form
    183.05/274.19 = 109.70/x
  3. Step 3: Cross multiply
    183.05x = 274.19 × 109.70
  4. Step 4: Simplify right side
    183.05x = 30,078.64
  5. Step 5: Solve for x
    x = 30,078.64/183.05
  6. Step 6: Final answer
    x = 164.32

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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.