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Finding the Fourth Proportional to 207.75, 311.63 and 63.48

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Solution

The fourth proportional to 207.75, 311.63 and 63.48 is: 95.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.75 : 311.63 = 63.48 : x
  2. Step 2: Convert to fraction form
    207.75/311.63 = 63.48/x
  3. Step 3: Cross multiply
    207.75x = 311.63 × 63.48
  4. Step 4: Simplify right side
    207.75x = 19,782.27
  5. Step 5: Solve for x
    x = 19,782.27/207.75
  6. Step 6: Final answer
    x = 95.22

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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.