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Finding the Fourth Proportional to 183.45, 273.87 and 177.04

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Solution

The fourth proportional to 183.45, 273.87 and 177.04 is: 264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.45 : 273.87 = 177.04 : x
  2. Step 2: Convert to fraction form
    183.45/273.87 = 177.04/x
  3. Step 3: Cross multiply
    183.45x = 273.87 × 177.04
  4. Step 4: Simplify right side
    183.45x = 48,485.94
  5. Step 5: Solve for x
    x = 48,485.94/183.45
  6. Step 6: Final answer
    x = 264.30

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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.