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Finding the Fourth Proportional to 182.33, 249.93 and 182.03

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Solution

The fourth proportional to 182.33, 249.93 and 182.03 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.33 : 249.93 = 182.03 : x
  2. Step 2: Convert to fraction form
    182.33/249.93 = 182.03/x
  3. Step 3: Cross multiply
    182.33x = 249.93 × 182.03
  4. Step 4: Simplify right side
    182.33x = 45,493.51
  5. Step 5: Solve for x
    x = 45,493.51/182.33
  6. Step 6: Final answer
    x = 249.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.