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Finding the Fourth Proportional to 183.14, 274.62 and 74.86

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Solution

The fourth proportional to 183.14, 274.62 and 74.86 is: 112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.14 : 274.62 = 74.86 : x
  2. Step 2: Convert to fraction form
    183.14/274.62 = 74.86/x
  3. Step 3: Cross multiply
    183.14x = 274.62 × 74.86
  4. Step 4: Simplify right side
    183.14x = 20,558.05
  5. Step 5: Solve for x
    x = 20,558.05/183.14
  6. Step 6: Final answer
    x = 112.25

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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.