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Finding the Fourth Proportional to 182.55, 273.72 and 74.25

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Solution

The fourth proportional to 182.55, 273.72 and 74.25 is: 111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.55 : 273.72 = 74.25 : x
  2. Step 2: Convert to fraction form
    182.55/273.72 = 74.25/x
  3. Step 3: Cross multiply
    182.55x = 273.72 × 74.25
  4. Step 4: Simplify right side
    182.55x = 20,323.71
  5. Step 5: Solve for x
    x = 20,323.71/182.55
  6. Step 6: Final answer
    x = 111.33

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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.