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Finding the Fourth Proportional to 182.55, 273.83 and 114.05

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Solution

The fourth proportional to 182.55, 273.83 and 114.05 is: 171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.55 : 273.83 = 114.05 : x
  2. Step 2: Convert to fraction form
    182.55/273.83 = 114.05/x
  3. Step 3: Cross multiply
    182.55x = 273.83 × 114.05
  4. Step 4: Simplify right side
    182.55x = 31,228.37
  5. Step 5: Solve for x
    x = 31,228.37/182.55
  6. Step 6: Final answer
    x = 171.07

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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.