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Finding the Fourth Proportional to 193.12, 289.24 and 120.76

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Solution

The fourth proportional to 193.12, 289.24 and 120.76 is: 180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.12 : 289.24 = 120.76 : x
  2. Step 2: Convert to fraction form
    193.12/289.24 = 120.76/x
  3. Step 3: Cross multiply
    193.12x = 289.24 × 120.76
  4. Step 4: Simplify right side
    193.12x = 34,928.62
  5. Step 5: Solve for x
    x = 34,928.62/193.12
  6. Step 6: Final answer
    x = 180.86

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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.