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Finding the Fourth Proportional to 206.75, 285.25 and 123.88

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Solution

The fourth proportional to 206.75, 285.25 and 123.88 is: 170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 285.25 = 123.88 : x
  2. Step 2: Convert to fraction form
    206.75/285.25 = 123.88/x
  3. Step 3: Cross multiply
    206.75x = 285.25 × 123.88
  4. Step 4: Simplify right side
    206.75x = 35,336.77
  5. Step 5: Solve for x
    x = 35,336.77/206.75
  6. Step 6: Final answer
    x = 170.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.