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Finding the Fourth Proportional to 207.46, 311.21 and 75.72

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Solution

The fourth proportional to 207.46, 311.21 and 75.72 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.46 : 311.21 = 75.72 : x
  2. Step 2: Convert to fraction form
    207.46/311.21 = 75.72/x
  3. Step 3: Cross multiply
    207.46x = 311.21 × 75.72
  4. Step 4: Simplify right side
    207.46x = 23,564.82
  5. Step 5: Solve for x
    x = 23,564.82/207.46
  6. Step 6: Final answer
    x = 113.59

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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.