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Finding the Fourth Proportional to 184.80, 276.66 and 166.80

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Solution

The fourth proportional to 184.80, 276.66 and 166.80 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 276.66 = 166.80 : x
  2. Step 2: Convert to fraction form
    184.80/276.66 = 166.80/x
  3. Step 3: Cross multiply
    184.80x = 276.66 × 166.80
  4. Step 4: Simplify right side
    184.80x = 46,146.89
  5. Step 5: Solve for x
    x = 46,146.89/184.80
  6. Step 6: Final answer
    x = 249.71

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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.