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Finding the Fourth Proportional to 206.99, 310.51 and 76.97

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Solution

The fourth proportional to 206.99, 310.51 and 76.97 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.99 : 310.51 = 76.97 : x
  2. Step 2: Convert to fraction form
    206.99/310.51 = 76.97/x
  3. Step 3: Cross multiply
    206.99x = 310.51 × 76.97
  4. Step 4: Simplify right side
    206.99x = 23,900.83
  5. Step 5: Solve for x
    x = 23,900.83/206.99
  6. Step 6: Final answer
    x = 115.47

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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.