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Finding the Fourth Proportional to 514.12, 771.46 and 189.54

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Solution

The fourth proportional to 514.12, 771.46 and 189.54 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.12 : 771.46 = 189.54 : x
  2. Step 2: Convert to fraction form
    514.12/771.46 = 189.54/x
  3. Step 3: Cross multiply
    514.12x = 771.46 × 189.54
  4. Step 4: Simplify right side
    514.12x = 146,222.53
  5. Step 5: Solve for x
    x = 146,222.53/514.12
  6. Step 6: Final answer
    x = 284.41

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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.