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Finding the Fourth Proportional to 183.72, 276.87 and 166.38

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Solution

The fourth proportional to 183.72, 276.87 and 166.38 is: 250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.72 : 276.87 = 166.38 : x
  2. Step 2: Convert to fraction form
    183.72/276.87 = 166.38/x
  3. Step 3: Cross multiply
    183.72x = 276.87 × 166.38
  4. Step 4: Simplify right side
    183.72x = 46,065.63
  5. Step 5: Solve for x
    x = 46,065.63/183.72
  6. Step 6: Final answer
    x = 250.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.