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Finding the Fourth Proportional to 184.96, 276.96 and 179.68

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Solution

The fourth proportional to 184.96, 276.96 and 179.68 is: 269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.96 : 276.96 = 179.68 : x
  2. Step 2: Convert to fraction form
    184.96/276.96 = 179.68/x
  3. Step 3: Cross multiply
    184.96x = 276.96 × 179.68
  4. Step 4: Simplify right side
    184.96x = 49,764.17
  5. Step 5: Solve for x
    x = 49,764.17/184.96
  6. Step 6: Final answer
    x = 269.05

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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.