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Finding the Fourth Proportional to 182.24, 251.16 and 161.60

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Solution

The fourth proportional to 182.24, 251.16 and 161.60 is: 222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 251.16 = 161.60 : x
  2. Step 2: Convert to fraction form
    182.24/251.16 = 161.60/x
  3. Step 3: Cross multiply
    182.24x = 251.16 × 161.60
  4. Step 4: Simplify right side
    182.24x = 40,587.46
  5. Step 5: Solve for x
    x = 40,587.46/182.24
  6. Step 6: Final answer
    x = 222.71

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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.