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Finding the Fourth Proportional to 194.57, 268.50 and 111.67

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Solution

The fourth proportional to 194.57, 268.50 and 111.67 is: 154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.57 : 268.50 = 111.67 : x
  2. Step 2: Convert to fraction form
    194.57/268.50 = 111.67/x
  3. Step 3: Cross multiply
    194.57x = 268.50 × 111.67
  4. Step 4: Simplify right side
    194.57x = 29,983.14
  5. Step 5: Solve for x
    x = 29,983.14/194.57
  6. Step 6: Final answer
    x = 154.10

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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.