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Finding the Fourth Proportional to 193.36, 289.62 and 112

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Solution

The fourth proportional to 193.36, 289.62 and 112 is: 167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.36 : 289.62 = 112 : x
  2. Step 2: Convert to fraction form
    193.36/289.62 = 112/x
  3. Step 3: Cross multiply
    193.36x = 289.62 × 112
  4. Step 4: Simplify right side
    193.36x = 32,437.44
  5. Step 5: Solve for x
    x = 32,437.44/193.36
  6. Step 6: Final answer
    x = 167.76

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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.