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Finding the Fourth Proportional to 206.57, 310.02 and 109.07

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Solution

The fourth proportional to 206.57, 310.02 and 109.07 is: 163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 310.02 = 109.07 : x
  2. Step 2: Convert to fraction form
    206.57/310.02 = 109.07/x
  3. Step 3: Cross multiply
    206.57x = 310.02 × 109.07
  4. Step 4: Simplify right side
    206.57x = 33,812.33
  5. Step 5: Solve for x
    x = 33,812.33/206.57
  6. Step 6: Final answer
    x = 163.69

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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.