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Finding the Fourth Proportional to 194.57, 268.46 and 111.65

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Solution

The fourth proportional to 194.57, 268.46 and 111.65 is: 154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.57 : 268.46 = 111.65 : x
  2. Step 2: Convert to fraction form
    194.57/268.46 = 111.65/x
  3. Step 3: Cross multiply
    194.57x = 268.46 × 111.65
  4. Step 4: Simplify right side
    194.57x = 29,971.66
  5. Step 5: Solve for x
    x = 29,971.66/194.57
  6. Step 6: Final answer
    x = 154.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.