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Finding the Fourth Proportional to 206.69, 310.06 and 83.30

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Solution

The fourth proportional to 206.69, 310.06 and 83.30 is: 124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 310.06 = 83.30 : x
  2. Step 2: Convert to fraction form
    206.69/310.06 = 83.30/x
  3. Step 3: Cross multiply
    206.69x = 310.06 × 83.30
  4. Step 4: Simplify right side
    206.69x = 25,826.55
  5. Step 5: Solve for x
    x = 25,826.55/206.69
  6. Step 6: Final answer
    x = 124.96

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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.