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Finding the Fourth Proportional to 182.01, 249.77 and 165.60

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Solution

The fourth proportional to 182.01, 249.77 and 165.60 is: 227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.01 : 249.77 = 165.60 : x
  2. Step 2: Convert to fraction form
    182.01/249.77 = 165.60/x
  3. Step 3: Cross multiply
    182.01x = 249.77 × 165.60
  4. Step 4: Simplify right side
    182.01x = 41,361.08
  5. Step 5: Solve for x
    x = 41,361.08/182.01
  6. Step 6: Final answer
    x = 227.25

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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.