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Finding the Fourth Proportional to 183.53, 251.43 and 181.25

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Solution

The fourth proportional to 183.53, 251.43 and 181.25 is: 248.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.53 : 251.43 = 181.25 : x
  2. Step 2: Convert to fraction form
    183.53/251.43 = 181.25/x
  3. Step 3: Cross multiply
    183.53x = 251.43 × 181.25
  4. Step 4: Simplify right side
    183.53x = 45,570.43
  5. Step 5: Solve for x
    x = 45,570.43/183.53
  6. Step 6: Final answer
    x = 248.31

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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.