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Finding the Fourth Proportional to 184.16, 276.26 and 111.16

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Solution

The fourth proportional to 184.16, 276.26 and 111.16 is: 166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.16 : 276.26 = 111.16 : x
  2. Step 2: Convert to fraction form
    184.16/276.26 = 111.16/x
  3. Step 3: Cross multiply
    184.16x = 276.26 × 111.16
  4. Step 4: Simplify right side
    184.16x = 30,709.06
  5. Step 5: Solve for x
    x = 30,709.06/184.16
  6. Step 6: Final answer
    x = 166.75

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Why These Related Problems?

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