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Finding the Fourth Proportional to 182.09, 273.54 and 110.00

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Solution

The fourth proportional to 182.09, 273.54 and 110.00 is: 165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.09 : 273.54 = 110.00 : x
  2. Step 2: Convert to fraction form
    182.09/273.54 = 110.00/x
  3. Step 3: Cross multiply
    182.09x = 273.54 × 110.00
  4. Step 4: Simplify right side
    182.09x = 30,087.48
  5. Step 5: Solve for x
    x = 30,087.48/182.09
  6. Step 6: Final answer
    x = 165.24

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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.