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Finding the Fourth Proportional to 183.69, 276.89 and 179.55

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Solution

The fourth proportional to 183.69, 276.89 and 179.55 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 276.89 = 179.55 : x
  2. Step 2: Convert to fraction form
    183.69/276.89 = 179.55/x
  3. Step 3: Cross multiply
    183.69x = 276.89 × 179.55
  4. Step 4: Simplify right side
    183.69x = 49,714.70
  5. Step 5: Solve for x
    x = 49,714.70/183.69
  6. Step 6: Final answer
    x = 270.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.