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Finding the Fourth Proportional to 514.37, 771.36 and 185.22

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Solution

The fourth proportional to 514.37, 771.36 and 185.22 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.37 : 771.36 = 185.22 : x
  2. Step 2: Convert to fraction form
    514.37/771.36 = 185.22/x
  3. Step 3: Cross multiply
    514.37x = 771.36 × 185.22
  4. Step 4: Simplify right side
    514.37x = 142,871.30
  5. Step 5: Solve for x
    x = 142,871.30/514.37
  6. Step 6: Final answer
    x = 277.76

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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.