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Finding the Fourth Proportional to 183.27, 274.38 and 140.10

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Solution

The fourth proportional to 183.27, 274.38 and 140.10 is: 209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.27 : 274.38 = 140.10 : x
  2. Step 2: Convert to fraction form
    183.27/274.38 = 140.10/x
  3. Step 3: Cross multiply
    183.27x = 274.38 × 140.10
  4. Step 4: Simplify right side
    183.27x = 38,440.64
  5. Step 5: Solve for x
    x = 38,440.64/183.27
  6. Step 6: Final answer
    x = 209.75

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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.