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Finding the Fourth Proportional to 207.67, 311.57 and 92.14

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Solution

The fourth proportional to 207.67, 311.57 and 92.14 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.67 : 311.57 = 92.14 : x
  2. Step 2: Convert to fraction form
    207.67/311.57 = 92.14/x
  3. Step 3: Cross multiply
    207.67x = 311.57 × 92.14
  4. Step 4: Simplify right side
    207.67x = 28,707.99
  5. Step 5: Solve for x
    x = 28,707.99/207.67
  6. Step 6: Final answer
    x = 138.24

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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.