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Finding the Fourth Proportional to 183.87, 252.32 and 167.54

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Solution

The fourth proportional to 183.87, 252.32 and 167.54 is: 229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.87 : 252.32 = 167.54 : x
  2. Step 2: Convert to fraction form
    183.87/252.32 = 167.54/x
  3. Step 3: Cross multiply
    183.87x = 252.32 × 167.54
  4. Step 4: Simplify right side
    183.87x = 42,271.59
  5. Step 5: Solve for x
    x = 42,271.59/183.87
  6. Step 6: Final answer
    x = 229.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.