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Finding the Fourth Proportional to 193.07, 289.23 and 116.09

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Solution

The fourth proportional to 193.07, 289.23 and 116.09 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.07 : 289.23 = 116.09 : x
  2. Step 2: Convert to fraction form
    193.07/289.23 = 116.09/x
  3. Step 3: Cross multiply
    193.07x = 289.23 × 116.09
  4. Step 4: Simplify right side
    193.07x = 33,576.71
  5. Step 5: Solve for x
    x = 33,576.71/193.07
  6. Step 6: Final answer
    x = 173.91

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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.