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Finding the Fourth Proportional to 514.37, 771.60 and 185.38

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Solution

The fourth proportional to 514.37, 771.60 and 185.38 is: 278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.37 : 771.60 = 185.38 : x
  2. Step 2: Convert to fraction form
    514.37/771.60 = 185.38/x
  3. Step 3: Cross multiply
    514.37x = 771.60 × 185.38
  4. Step 4: Simplify right side
    514.37x = 143,039.21
  5. Step 5: Solve for x
    x = 143,039.21/514.37
  6. Step 6: Final answer
    x = 278.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.