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Finding the Fourth Proportional to 183.64, 251.60 and 181.36

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Solution

The fourth proportional to 183.64, 251.60 and 181.36 is: 248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.64 : 251.60 = 181.36 : x
  2. Step 2: Convert to fraction form
    183.64/251.60 = 181.36/x
  3. Step 3: Cross multiply
    183.64x = 251.60 × 181.36
  4. Step 4: Simplify right side
    183.64x = 45,630.18
  5. Step 5: Solve for x
    x = 45,630.18/183.64
  6. Step 6: Final answer
    x = 248.48

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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.