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Finding the Fourth Proportional to 205.67, 282.41 and 174.48

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Solution

The fourth proportional to 205.67, 282.41 and 174.48 is: 239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.67 : 282.41 = 174.48 : x
  2. Step 2: Convert to fraction form
    205.67/282.41 = 174.48/x
  3. Step 3: Cross multiply
    205.67x = 282.41 × 174.48
  4. Step 4: Simplify right side
    205.67x = 49,274.02
  5. Step 5: Solve for x
    x = 49,274.02/205.67
  6. Step 6: Final answer
    x = 239.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.