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Finding the Fourth Proportional to 771, 1,156.42 and 193.88

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Solution

The fourth proportional to 771, 1,156.42 and 193.88 is: 290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    771 : 1,156.42 = 193.88 : x
  2. Step 2: Convert to fraction form
    771/1,156.42 = 193.88/x
  3. Step 3: Cross multiply
    771x = 1,156.42 × 193.88
  4. Step 4: Simplify right side
    771x = 224,199.96
  5. Step 5: Solve for x
    x = 224,199.96/771
  6. Step 6: Final answer
    x = 290.79

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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.