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Finding the Fourth Proportional to 514.15, 771.15 and 189.27

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Solution

The fourth proportional to 514.15, 771.15 and 189.27 is: 283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.15 : 771.15 = 189.27 : x
  2. Step 2: Convert to fraction form
    514.15/771.15 = 189.27/x
  3. Step 3: Cross multiply
    514.15x = 771.15 × 189.27
  4. Step 4: Simplify right side
    514.15x = 145,955.56
  5. Step 5: Solve for x
    x = 145,955.56/514.15
  6. Step 6: Final answer
    x = 283.88

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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.