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Finding the Fourth Proportional to 182.41, 273.75 and 85.01

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Solution

The fourth proportional to 182.41, 273.75 and 85.01 is: 127.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.41 : 273.75 = 85.01 : x
  2. Step 2: Convert to fraction form
    182.41/273.75 = 85.01/x
  3. Step 3: Cross multiply
    182.41x = 273.75 × 85.01
  4. Step 4: Simplify right side
    182.41x = 23,272.17
  5. Step 5: Solve for x
    x = 23,272.17/182.41
  6. Step 6: Final answer
    x = 127.58

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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.