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Finding the Fourth Proportional to 206.78, 285.21 and 123.84

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Solution

The fourth proportional to 206.78, 285.21 and 123.84 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 285.21 = 123.84 : x
  2. Step 2: Convert to fraction form
    206.78/285.21 = 123.84/x
  3. Step 3: Cross multiply
    206.78x = 285.21 × 123.84
  4. Step 4: Simplify right side
    206.78x = 35,320.41
  5. Step 5: Solve for x
    x = 35,320.41/206.78
  6. Step 6: Final answer
    x = 170.82

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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.