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Finding the Fourth Proportional to 183.65, 276.02 and 181.49

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Solution

The fourth proportional to 183.65, 276.02 and 181.49 is: 272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.65 : 276.02 = 181.49 : x
  2. Step 2: Convert to fraction form
    183.65/276.02 = 181.49/x
  3. Step 3: Cross multiply
    183.65x = 276.02 × 181.49
  4. Step 4: Simplify right side
    183.65x = 50,093.96
  5. Step 5: Solve for x
    x = 50,093.96/183.65
  6. Step 6: Final answer
    x = 272.77

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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.