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Finding the Fourth Proportional to 183.50, 274.71 and 138.03

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Solution

The fourth proportional to 183.50, 274.71 and 138.03 is: 206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.50 : 274.71 = 138.03 : x
  2. Step 2: Convert to fraction form
    183.50/274.71 = 138.03/x
  3. Step 3: Cross multiply
    183.50x = 274.71 × 138.03
  4. Step 4: Simplify right side
    183.50x = 37,918.22
  5. Step 5: Solve for x
    x = 37,918.22/183.50
  6. Step 6: Final answer
    x = 206.64

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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.