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Finding the Fourth Proportional to 207.40, 311.33 and 205.88

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Solution

The fourth proportional to 207.40, 311.33 and 205.88 is: 309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 311.33 = 205.88 : x
  2. Step 2: Convert to fraction form
    207.40/311.33 = 205.88/x
  3. Step 3: Cross multiply
    207.40x = 311.33 × 205.88
  4. Step 4: Simplify right side
    207.40x = 64,096.62
  5. Step 5: Solve for x
    x = 64,096.62/207.40
  6. Step 6: Final answer
    x = 309.05

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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.