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Finding the Fourth Proportional to 207.74, 311.61 and 70.82

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Solution

The fourth proportional to 207.74, 311.61 and 70.82 is: 106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.74 : 311.61 = 70.82 : x
  2. Step 2: Convert to fraction form
    207.74/311.61 = 70.82/x
  3. Step 3: Cross multiply
    207.74x = 311.61 × 70.82
  4. Step 4: Simplify right side
    207.74x = 22,069.55
  5. Step 5: Solve for x
    x = 22,069.55/207.74
  6. Step 6: Final answer
    x = 106.24

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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.