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Finding the Fourth Proportional to 286.16, 429.10 and 199.54

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Solution

The fourth proportional to 286.16, 429.10 and 199.54 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.16 : 429.10 = 199.54 : x
  2. Step 2: Convert to fraction form
    286.16/429.10 = 199.54/x
  3. Step 3: Cross multiply
    286.16x = 429.10 × 199.54
  4. Step 4: Simplify right side
    286.16x = 85,620.47
  5. Step 5: Solve for x
    x = 85,620.47/286.16
  6. Step 6: Final answer
    x = 299.20

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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.