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Finding the Fourth Proportional to 185.82, 255.92 and 166.07

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Solution

The fourth proportional to 185.82, 255.92 and 166.07 is: 228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 255.92 = 166.07 : x
  2. Step 2: Convert to fraction form
    185.82/255.92 = 166.07/x
  3. Step 3: Cross multiply
    185.82x = 255.92 × 166.07
  4. Step 4: Simplify right side
    185.82x = 42,498.52
  5. Step 5: Solve for x
    x = 42,498.52/185.82
  6. Step 6: Final answer
    x = 228.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.