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Finding the Fourth Proportional to 286.42, 429.69 and 199.86

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Solution

The fourth proportional to 286.42, 429.69 and 199.86 is: 299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.42 : 429.69 = 199.86 : x
  2. Step 2: Convert to fraction form
    286.42/429.69 = 199.86/x
  3. Step 3: Cross multiply
    286.42x = 429.69 × 199.86
  4. Step 4: Simplify right side
    286.42x = 85,877.84
  5. Step 5: Solve for x
    x = 85,877.84/286.42
  6. Step 6: Final answer
    x = 299.83

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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.