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Finding the Fourth Proportional to 207.17, 311.06 and 206.56

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Solution

The fourth proportional to 207.17, 311.06 and 206.56 is: 310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.17 : 311.06 = 206.56 : x
  2. Step 2: Convert to fraction form
    207.17/311.06 = 206.56/x
  3. Step 3: Cross multiply
    207.17x = 311.06 × 206.56
  4. Step 4: Simplify right side
    207.17x = 64,252.55
  5. Step 5: Solve for x
    x = 64,252.55/207.17
  6. Step 6: Final answer
    x = 310.14

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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.