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Finding the Fourth Proportional to 205, 282.63 and 161.26

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Solution

The fourth proportional to 205, 282.63 and 161.26 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 282.63 = 161.26 : x
  2. Step 2: Convert to fraction form
    205/282.63 = 161.26/x
  3. Step 3: Cross multiply
    205x = 282.63 × 161.26
  4. Step 4: Simplify right side
    205x = 45,576.91
  5. Step 5: Solve for x
    x = 45,576.91/205
  6. Step 6: Final answer
    x = 222.33

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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.