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Finding the Fourth Proportional to 182.13, 273.50 and 180.71

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Solution

The fourth proportional to 182.13, 273.50 and 180.71 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.13 : 273.50 = 180.71 : x
  2. Step 2: Convert to fraction form
    182.13/273.50 = 180.71/x
  3. Step 3: Cross multiply
    182.13x = 273.50 × 180.71
  4. Step 4: Simplify right side
    182.13x = 49,424.19
  5. Step 5: Solve for x
    x = 49,424.19/182.13
  6. Step 6: Final answer
    x = 271.37

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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.