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Finding the Fourth Proportional to 286.16, 428.54 and 199.26

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Solution

The fourth proportional to 286.16, 428.54 and 199.26 is: 298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.16 : 428.54 = 199.26 : x
  2. Step 2: Convert to fraction form
    286.16/428.54 = 199.26/x
  3. Step 3: Cross multiply
    286.16x = 428.54 × 199.26
  4. Step 4: Simplify right side
    286.16x = 85,389.88
  5. Step 5: Solve for x
    x = 85,389.88/286.16
  6. Step 6: Final answer
    x = 298.40

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Why These Related Problems?

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