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Finding the Fourth Proportional to 184.44, 276.38 and 76.16

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Solution

The fourth proportional to 184.44, 276.38 and 76.16 is: 114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.44 : 276.38 = 76.16 : x
  2. Step 2: Convert to fraction form
    184.44/276.38 = 76.16/x
  3. Step 3: Cross multiply
    184.44x = 276.38 × 76.16
  4. Step 4: Simplify right side
    184.44x = 21,049.10
  5. Step 5: Solve for x
    x = 21,049.10/184.44
  6. Step 6: Final answer
    x = 114.12

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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.