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Finding the Fourth Proportional to 286.09, 428.56 and 131.80

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Solution

The fourth proportional to 286.09, 428.56 and 131.80 is: 197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.09 : 428.56 = 131.80 : x
  2. Step 2: Convert to fraction form
    286.09/428.56 = 131.80/x
  3. Step 3: Cross multiply
    286.09x = 428.56 × 131.80
  4. Step 4: Simplify right side
    286.09x = 56,484.21
  5. Step 5: Solve for x
    x = 56,484.21/286.09
  6. Step 6: Final answer
    x = 197.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.