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Finding the Fourth Proportional to 183.82, 276 and 178.42

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Solution

The fourth proportional to 183.82, 276 and 178.42 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.82 : 276 = 178.42 : x
  2. Step 2: Convert to fraction form
    183.82/276 = 178.42/x
  3. Step 3: Cross multiply
    183.82x = 276 × 178.42
  4. Step 4: Simplify right side
    183.82x = 49,243.92
  5. Step 5: Solve for x
    x = 49,243.92/183.82
  6. Step 6: Final answer
    x = 267.89

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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.