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Finding the Fourth Proportional to 205.99, 284.26 and 118.66

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Solution

The fourth proportional to 205.99, 284.26 and 118.66 is: 163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.99 : 284.26 = 118.66 : x
  2. Step 2: Convert to fraction form
    205.99/284.26 = 118.66/x
  3. Step 3: Cross multiply
    205.99x = 284.26 × 118.66
  4. Step 4: Simplify right side
    205.99x = 33,730.29
  5. Step 5: Solve for x
    x = 33,730.29/205.99
  6. Step 6: Final answer
    x = 163.75

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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.