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Finding the Fourth Proportional to 184.42, 276.64 and 76.22

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Solution

The fourth proportional to 184.42, 276.64 and 76.22 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.42 : 276.64 = 76.22 : x
  2. Step 2: Convert to fraction form
    184.42/276.64 = 76.22/x
  3. Step 3: Cross multiply
    184.42x = 276.64 × 76.22
  4. Step 4: Simplify right side
    184.42x = 21,083.93
  5. Step 5: Solve for x
    x = 21,083.93/184.42
  6. Step 6: Final answer
    x = 114.33

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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.