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Finding the Fourth Proportional to 183.99, 276.02 and 149.66

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Solution

The fourth proportional to 183.99, 276.02 and 149.66 is: 224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.99 : 276.02 = 149.66 : x
  2. Step 2: Convert to fraction form
    183.99/276.02 = 149.66/x
  3. Step 3: Cross multiply
    183.99x = 276.02 × 149.66
  4. Step 4: Simplify right side
    183.99x = 41,310.22
  5. Step 5: Solve for x
    x = 41,310.22/183.99
  6. Step 6: Final answer
    x = 224.52

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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.