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Finding the Fourth Proportional to 286.16, 428.76 and 189.80

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Solution

The fourth proportional to 286.16, 428.76 and 189.80 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.16 : 428.76 = 189.80 : x
  2. Step 2: Convert to fraction form
    286.16/428.76 = 189.80/x
  3. Step 3: Cross multiply
    286.16x = 428.76 × 189.80
  4. Step 4: Simplify right side
    286.16x = 81,378.65
  5. Step 5: Solve for x
    x = 81,378.65/286.16
  6. Step 6: Final answer
    x = 284.38

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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.