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Finding the Fourth Proportional to 207.83, 311.46 and 92.14

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Solution

The fourth proportional to 207.83, 311.46 and 92.14 is: 138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.83 : 311.46 = 92.14 : x
  2. Step 2: Convert to fraction form
    207.83/311.46 = 92.14/x
  3. Step 3: Cross multiply
    207.83x = 311.46 × 92.14
  4. Step 4: Simplify right side
    207.83x = 28,696.80
  5. Step 5: Solve for x
    x = 28,696.80/207.83
  6. Step 6: Final answer
    x = 138.08

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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.