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Finding the Fourth Proportional to 205.94, 284 and 131.18

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Solution

The fourth proportional to 205.94, 284 and 131.18 is: 180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 284 = 131.18 : x
  2. Step 2: Convert to fraction form
    205.94/284 = 131.18/x
  3. Step 3: Cross multiply
    205.94x = 284 × 131.18
  4. Step 4: Simplify right side
    205.94x = 37,255.12
  5. Step 5: Solve for x
    x = 37,255.12/205.94
  6. Step 6: Final answer
    x = 180.90

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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.