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Finding the Fourth Proportional to 182.76, 273.51 and 110.25

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Solution

The fourth proportional to 182.76, 273.51 and 110.25 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.76 : 273.51 = 110.25 : x
  2. Step 2: Convert to fraction form
    182.76/273.51 = 110.25/x
  3. Step 3: Cross multiply
    182.76x = 273.51 × 110.25
  4. Step 4: Simplify right side
    182.76x = 30,154.48
  5. Step 5: Solve for x
    x = 30,154.48/182.76
  6. Step 6: Final answer
    x = 164.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.