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Finding the Fourth Proportional to 183.16, 274.58 and 111.16

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Solution

The fourth proportional to 183.16, 274.58 and 111.16 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.16 : 274.58 = 111.16 : x
  2. Step 2: Convert to fraction form
    183.16/274.58 = 111.16/x
  3. Step 3: Cross multiply
    183.16x = 274.58 × 111.16
  4. Step 4: Simplify right side
    183.16x = 30,522.31
  5. Step 5: Solve for x
    x = 30,522.31/183.16
  6. Step 6: Final answer
    x = 166.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.