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Finding the Fourth Proportional to 207.75, 311.76 and 93.75

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Solution

The fourth proportional to 207.75, 311.76 and 93.75 is: 140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.75 : 311.76 = 93.75 : x
  2. Step 2: Convert to fraction form
    207.75/311.76 = 93.75/x
  3. Step 3: Cross multiply
    207.75x = 311.76 × 93.75
  4. Step 4: Simplify right side
    207.75x = 29,227.50
  5. Step 5: Solve for x
    x = 29,227.50/207.75
  6. Step 6: Final answer
    x = 140.69

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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.