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Finding the Fourth Proportional to 182.23, 273.07 and 110.01

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Solution

The fourth proportional to 182.23, 273.07 and 110.01 is: 164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.23 : 273.07 = 110.01 : x
  2. Step 2: Convert to fraction form
    182.23/273.07 = 110.01/x
  3. Step 3: Cross multiply
    182.23x = 273.07 × 110.01
  4. Step 4: Simplify right side
    182.23x = 30,040.43
  5. Step 5: Solve for x
    x = 30,040.43/182.23
  6. Step 6: Final answer
    x = 164.85

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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.