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Finding the Fourth Proportional to 771.88, 1,157.81 and 194.75

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Solution

The fourth proportional to 771.88, 1,157.81 and 194.75 is: 292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.88 : 1,157.81 = 194.75 : x
  2. Step 2: Convert to fraction form
    771.88/1,157.81 = 194.75/x
  3. Step 3: Cross multiply
    771.88x = 1,157.81 × 194.75
  4. Step 4: Simplify right side
    771.88x = 225,487.86
  5. Step 5: Solve for x
    x = 225,487.86/771.88
  6. Step 6: Final answer
    x = 292.13

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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.