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Finding the Fourth Proportional to 183.50, 251.06 and 182.74

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Solution

The fourth proportional to 183.50, 251.06 and 182.74 is: 250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.50 : 251.06 = 182.74 : x
  2. Step 2: Convert to fraction form
    183.50/251.06 = 182.74/x
  3. Step 3: Cross multiply
    183.50x = 251.06 × 182.74
  4. Step 4: Simplify right side
    183.50x = 45,878.70
  5. Step 5: Solve for x
    x = 45,878.70/183.50
  6. Step 6: Final answer
    x = 250.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.