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Finding the Fourth Proportional to 192.08, 286.75 and 185.33

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Solution

The fourth proportional to 192.08, 286.75 and 185.33 is: 276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.08 : 286.75 = 185.33 : x
  2. Step 2: Convert to fraction form
    192.08/286.75 = 185.33/x
  3. Step 3: Cross multiply
    192.08x = 286.75 × 185.33
  4. Step 4: Simplify right side
    192.08x = 53,143.38
  5. Step 5: Solve for x
    x = 53,143.38/192.08
  6. Step 6: Final answer
    x = 276.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.