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Finding the Fourth Proportional to 182.68, 273.40 and 110.59

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Solution

The fourth proportional to 182.68, 273.40 and 110.59 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.68 : 273.40 = 110.59 : x
  2. Step 2: Convert to fraction form
    182.68/273.40 = 110.59/x
  3. Step 3: Cross multiply
    182.68x = 273.40 × 110.59
  4. Step 4: Simplify right side
    182.68x = 30,235.31
  5. Step 5: Solve for x
    x = 30,235.31/182.68
  6. Step 6: Final answer
    x = 165.51

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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.