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Finding the Fourth Proportional to 771.36, 1,157.08 and 194.24

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Solution

The fourth proportional to 771.36, 1,157.08 and 194.24 is: 291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.36 : 1,157.08 = 194.24 : x
  2. Step 2: Convert to fraction form
    771.36/1,157.08 = 194.24/x
  3. Step 3: Cross multiply
    771.36x = 1,157.08 × 194.24
  4. Step 4: Simplify right side
    771.36x = 224,751.22
  5. Step 5: Solve for x
    x = 224,751.22/771.36
  6. Step 6: Final answer
    x = 291.37

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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.