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Finding the Fourth Proportional to 205.15, 282.88 and 167.69

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Solution

The fourth proportional to 205.15, 282.88 and 167.69 is: 231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.15 : 282.88 = 167.69 : x
  2. Step 2: Convert to fraction form
    205.15/282.88 = 167.69/x
  3. Step 3: Cross multiply
    205.15x = 282.88 × 167.69
  4. Step 4: Simplify right side
    205.15x = 47,436.14
  5. Step 5: Solve for x
    x = 47,436.14/205.15
  6. Step 6: Final answer
    x = 231.23

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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.