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Finding the Fourth Proportional to 184.00, 276.00 and 68.45

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Solution

The fourth proportional to 184.00, 276.00 and 68.45 is: 102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.00 : 276.00 = 68.45 : x
  2. Step 2: Convert to fraction form
    184.00/276.00 = 68.45/x
  3. Step 3: Cross multiply
    184.00x = 276.00 × 68.45
  4. Step 4: Simplify right side
    184.00x = 18,891.86
  5. Step 5: Solve for x
    x = 18,891.86/184.00
  6. Step 6: Final answer
    x = 102.68

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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.