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Finding the Fourth Proportional to 182.44, 251.94 and 165.16

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Solution

The fourth proportional to 182.44, 251.94 and 165.16 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.44 : 251.94 = 165.16 : x
  2. Step 2: Convert to fraction form
    182.44/251.94 = 165.16/x
  3. Step 3: Cross multiply
    182.44x = 251.94 × 165.16
  4. Step 4: Simplify right side
    182.44x = 41,610.41
  5. Step 5: Solve for x
    x = 41,610.41/182.44
  6. Step 6: Final answer
    x = 228.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.