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Finding the Fourth Proportional to 182.45, 273.45 and 109.38

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Solution

The fourth proportional to 182.45, 273.45 and 109.38 is: 163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.45 : 273.45 = 109.38 : x
  2. Step 2: Convert to fraction form
    182.45/273.45 = 109.38/x
  3. Step 3: Cross multiply
    182.45x = 273.45 × 109.38
  4. Step 4: Simplify right side
    182.45x = 29,909.96
  5. Step 5: Solve for x
    x = 29,909.96/182.45
  6. Step 6: Final answer
    x = 163.94

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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.