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Finding the Fourth Proportional to 207.96, 311.76 and 192.84

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Solution

The fourth proportional to 207.96, 311.76 and 192.84 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 311.76 = 192.84 : x
  2. Step 2: Convert to fraction form
    207.96/311.76 = 192.84/x
  3. Step 3: Cross multiply
    207.96x = 311.76 × 192.84
  4. Step 4: Simplify right side
    207.96x = 60,119.80
  5. Step 5: Solve for x
    x = 60,119.80/207.96
  6. Step 6: Final answer
    x = 289.09

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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.