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Finding the Fourth Proportional to 514.14, 771.42 and 189.43

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Solution

The fourth proportional to 514.14, 771.42 and 189.43 is: 284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 771.42 = 189.43 : x
  2. Step 2: Convert to fraction form
    514.14/771.42 = 189.43/x
  3. Step 3: Cross multiply
    514.14x = 771.42 × 189.43
  4. Step 4: Simplify right side
    514.14x = 146,128.87
  5. Step 5: Solve for x
    x = 146,128.87/514.14
  6. Step 6: Final answer
    x = 284.22

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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.