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Finding the Fourth Proportional to 514.66, 771.86 and 189.92

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Solution

The fourth proportional to 514.66, 771.86 and 189.92 is: 284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.66 : 771.86 = 189.92 : x
  2. Step 2: Convert to fraction form
    514.66/771.86 = 189.92/x
  3. Step 3: Cross multiply
    514.66x = 771.86 × 189.92
  4. Step 4: Simplify right side
    514.66x = 146,591.65
  5. Step 5: Solve for x
    x = 146,591.65/514.66
  6. Step 6: Final answer
    x = 284.83

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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.