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Finding the Fourth Proportional to 206.73, 285.24 and 123.78

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Solution

The fourth proportional to 206.73, 285.24 and 123.78 is: 170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.73 : 285.24 = 123.78 : x
  2. Step 2: Convert to fraction form
    206.73/285.24 = 123.78/x
  3. Step 3: Cross multiply
    206.73x = 285.24 × 123.78
  4. Step 4: Simplify right side
    206.73x = 35,307.01
  5. Step 5: Solve for x
    x = 35,307.01/206.73
  6. Step 6: Final answer
    x = 170.79

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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.