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Finding the Fourth Proportional to 221.69, 304.65 and 182.27

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Solution

The fourth proportional to 221.69, 304.65 and 182.27 is: 250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.69 : 304.65 = 182.27 : x
  2. Step 2: Convert to fraction form
    221.69/304.65 = 182.27/x
  3. Step 3: Cross multiply
    221.69x = 304.65 × 182.27
  4. Step 4: Simplify right side
    221.69x = 55,527.03
  5. Step 5: Solve for x
    x = 55,527.03/221.69
  6. Step 6: Final answer
    x = 250.48

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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.