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Finding the Fourth Proportional to 207.41, 311.14 and 70.49

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Solution

The fourth proportional to 207.41, 311.14 and 70.49 is: 105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.41 : 311.14 = 70.49 : x
  2. Step 2: Convert to fraction form
    207.41/311.14 = 70.49/x
  3. Step 3: Cross multiply
    207.41x = 311.14 × 70.49
  4. Step 4: Simplify right side
    207.41x = 21,930.53
  5. Step 5: Solve for x
    x = 21,930.53/207.41
  6. Step 6: Final answer
    x = 105.74

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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.