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Finding the Fourth Proportional to 193.26, 289.91 and 77.77

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Solution

The fourth proportional to 193.26, 289.91 and 77.77 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.26 : 289.91 = 77.77 : x
  2. Step 2: Convert to fraction form
    193.26/289.91 = 77.77/x
  3. Step 3: Cross multiply
    193.26x = 289.91 × 77.77
  4. Step 4: Simplify right side
    193.26x = 22,546.86
  5. Step 5: Solve for x
    x = 22,546.86/193.26
  6. Step 6: Final answer
    x = 116.66

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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.