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Finding the Fourth Proportional to 183.48, 271.79 and 181.44

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Solution

The fourth proportional to 183.48, 271.79 and 181.44 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.48 : 271.79 = 181.44 : x
  2. Step 2: Convert to fraction form
    183.48/271.79 = 181.44/x
  3. Step 3: Cross multiply
    183.48x = 271.79 × 181.44
  4. Step 4: Simplify right side
    183.48x = 49,313.01
  5. Step 5: Solve for x
    x = 49,313.01/183.48
  6. Step 6: Final answer
    x = 268.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.