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Finding the Fourth Proportional to 182.48, 273.02 and 110.38

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Solution

The fourth proportional to 182.48, 273.02 and 110.38 is: 165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.48 : 273.02 = 110.38 : x
  2. Step 2: Convert to fraction form
    182.48/273.02 = 110.38/x
  3. Step 3: Cross multiply
    182.48x = 273.02 × 110.38
  4. Step 4: Simplify right side
    182.48x = 30,135.95
  5. Step 5: Solve for x
    x = 30,135.95/182.48
  6. Step 6: Final answer
    x = 165.15

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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.