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Finding the Fourth Proportional to 771.98, 1,157.97 and 224.16

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Solution

The fourth proportional to 771.98, 1,157.97 and 224.16 is: 336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.98 : 1,157.97 = 224.16 : x
  2. Step 2: Convert to fraction form
    771.98/1,157.97 = 224.16/x
  3. Step 3: Cross multiply
    771.98x = 1,157.97 × 224.16
  4. Step 4: Simplify right side
    771.98x = 259,570.56
  5. Step 5: Solve for x
    x = 259,570.56/771.98
  6. Step 6: Final answer
    x = 336.24

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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.