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Finding the Fourth Proportional to 514.26, 771.47 and 185.24

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Solution

The fourth proportional to 514.26, 771.47 and 185.24 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.26 : 771.47 = 185.24 : x
  2. Step 2: Convert to fraction form
    514.26/771.47 = 185.24/x
  3. Step 3: Cross multiply
    514.26x = 771.47 × 185.24
  4. Step 4: Simplify right side
    514.26x = 142,902.32
  5. Step 5: Solve for x
    x = 142,902.32/514.26
  6. Step 6: Final answer
    x = 277.88

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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.