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Finding the Fourth Proportional to 182.73, 273.71 and 144.02

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Solution

The fourth proportional to 182.73, 273.71 and 144.02 is: 215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.73 : 273.71 = 144.02 : x
  2. Step 2: Convert to fraction form
    182.73/273.71 = 144.02/x
  3. Step 3: Cross multiply
    182.73x = 273.71 × 144.02
  4. Step 4: Simplify right side
    182.73x = 39,419.71
  5. Step 5: Solve for x
    x = 39,419.71/182.73
  6. Step 6: Final answer
    x = 215.73

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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.