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Finding the Fourth Proportional to 207.82, 311.73 and 164.53

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Solution

The fourth proportional to 207.82, 311.73 and 164.53 is: 246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.82 : 311.73 = 164.53 : x
  2. Step 2: Convert to fraction form
    207.82/311.73 = 164.53/x
  3. Step 3: Cross multiply
    207.82x = 311.73 × 164.53
  4. Step 4: Simplify right side
    207.82x = 51,288.94
  5. Step 5: Solve for x
    x = 51,288.94/207.82
  6. Step 6: Final answer
    x = 246.80

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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.