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Finding the Fourth Proportional to 193.23, 289.76 and 77.67

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Solution

The fourth proportional to 193.23, 289.76 and 77.67 is: 116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.23 : 289.76 = 77.67 : x
  2. Step 2: Convert to fraction form
    193.23/289.76 = 77.67/x
  3. Step 3: Cross multiply
    193.23x = 289.76 × 77.67
  4. Step 4: Simplify right side
    193.23x = 22,505.27
  5. Step 5: Solve for x
    x = 22,505.27/193.23
  6. Step 6: Final answer
    x = 116.47

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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.