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Finding the Fourth Proportional to 205.26, 282.63 and 180.54

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Solution

The fourth proportional to 205.26, 282.63 and 180.54 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.26 : 282.63 = 180.54 : x
  2. Step 2: Convert to fraction form
    205.26/282.63 = 180.54/x
  3. Step 3: Cross multiply
    205.26x = 282.63 × 180.54
  4. Step 4: Simplify right side
    205.26x = 51,026.02
  5. Step 5: Solve for x
    x = 51,026.02/205.26
  6. Step 6: Final answer
    x = 248.59

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