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Finding the Fourth Proportional to 183.02, 272.43 and 180.41

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Solution

The fourth proportional to 183.02, 272.43 and 180.41 is: 268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 272.43 = 180.41 : x
  2. Step 2: Convert to fraction form
    183.02/272.43 = 180.41/x
  3. Step 3: Cross multiply
    183.02x = 272.43 × 180.41
  4. Step 4: Simplify right side
    183.02x = 49,147.73
  5. Step 5: Solve for x
    x = 49,147.73/183.02
  6. Step 6: Final answer
    x = 268.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.