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Finding the Fourth Proportional to 207.96, 311.71 and 70.94

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Solution

The fourth proportional to 207.96, 311.71 and 70.94 is: 106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 311.71 = 70.94 : x
  2. Step 2: Convert to fraction form
    207.96/311.71 = 70.94/x
  3. Step 3: Cross multiply
    207.96x = 311.71 × 70.94
  4. Step 4: Simplify right side
    207.96x = 22,110.97
  5. Step 5: Solve for x
    x = 22,110.97/207.96
  6. Step 6: Final answer
    x = 106.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.