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Finding the Fourth Proportional to 183.87, 273.33 and 178.41

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Solution

The fourth proportional to 183.87, 273.33 and 178.41 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.87 : 273.33 = 178.41 : x
  2. Step 2: Convert to fraction form
    183.87/273.33 = 178.41/x
  3. Step 3: Cross multiply
    183.87x = 273.33 × 178.41
  4. Step 4: Simplify right side
    183.87x = 48,764.81
  5. Step 5: Solve for x
    x = 48,764.81/183.87
  6. Step 6: Final answer
    x = 265.21

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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.