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Finding the Fourth Proportional to 182.43, 273.78 and 114.03

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Solution

The fourth proportional to 182.43, 273.78 and 114.03 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.43 : 273.78 = 114.03 : x
  2. Step 2: Convert to fraction form
    182.43/273.78 = 114.03/x
  3. Step 3: Cross multiply
    182.43x = 273.78 × 114.03
  4. Step 4: Simplify right side
    182.43x = 31,219.13
  5. Step 5: Solve for x
    x = 31,219.13/182.43
  6. Step 6: Final answer
    x = 171.13

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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.