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Finding the Fourth Proportional to 514.65, 771.87 and 189.99

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Solution

The fourth proportional to 514.65, 771.87 and 189.99 is: 284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.65 : 771.87 = 189.99 : x
  2. Step 2: Convert to fraction form
    514.65/771.87 = 189.99/x
  3. Step 3: Cross multiply
    514.65x = 771.87 × 189.99
  4. Step 4: Simplify right side
    514.65x = 146,647.58
  5. Step 5: Solve for x
    x = 146,647.58/514.65
  6. Step 6: Final answer
    x = 284.95

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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.