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Finding the Fourth Proportional to 193.14, 289.49 and 77.55

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Solution

The fourth proportional to 193.14, 289.49 and 77.55 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 289.49 = 77.55 : x
  2. Step 2: Convert to fraction form
    193.14/289.49 = 77.55/x
  3. Step 3: Cross multiply
    193.14x = 289.49 × 77.55
  4. Step 4: Simplify right side
    193.14x = 22,449.56
  5. Step 5: Solve for x
    x = 22,449.56/193.14
  6. Step 6: Final answer
    x = 116.23

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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.