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Finding the Fourth Proportional to 180.66, 270.73 and 122.69

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Solution

The fourth proportional to 180.66, 270.73 and 122.69 is: 183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.66 : 270.73 = 122.69 : x
  2. Step 2: Convert to fraction form
    180.66/270.73 = 122.69/x
  3. Step 3: Cross multiply
    180.66x = 270.73 × 122.69
  4. Step 4: Simplify right side
    180.66x = 33,214.52
  5. Step 5: Solve for x
    x = 33,214.52/180.66
  6. Step 6: Final answer
    x = 183.85

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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.