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Finding the Fourth Proportional to 184.83, 276.84 and 146.12

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Solution

The fourth proportional to 184.83, 276.84 and 146.12 is: 218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.83 : 276.84 = 146.12 : x
  2. Step 2: Convert to fraction form
    184.83/276.84 = 146.12/x
  3. Step 3: Cross multiply
    184.83x = 276.84 × 146.12
  4. Step 4: Simplify right side
    184.83x = 40,450.48
  5. Step 5: Solve for x
    x = 40,450.48/184.83
  6. Step 6: Final answer
    x = 218.85

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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.