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Finding the Fourth Proportional to 513.05, 769.63 and 142.86

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Solution

The fourth proportional to 513.05, 769.63 and 142.86 is: 214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.05 : 769.63 = 142.86 : x
  2. Step 2: Convert to fraction form
    513.05/769.63 = 142.86/x
  3. Step 3: Cross multiply
    513.05x = 769.63 × 142.86
  4. Step 4: Simplify right side
    513.05x = 109,944.78
  5. Step 5: Solve for x
    x = 109,944.78/513.05
  6. Step 6: Final answer
    x = 214.30

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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.