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Finding the Fourth Proportional to 183.01, 274.65 and 122.26

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Solution

The fourth proportional to 183.01, 274.65 and 122.26 is: 183.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.01 : 274.65 = 122.26 : x
  2. Step 2: Convert to fraction form
    183.01/274.65 = 122.26/x
  3. Step 3: Cross multiply
    183.01x = 274.65 × 122.26
  4. Step 4: Simplify right side
    183.01x = 33,578.71
  5. Step 5: Solve for x
    x = 33,578.71/183.01
  6. Step 6: Final answer
    x = 183.48

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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.