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Finding the Fourth Proportional to 206.57, 285.59 and 154.73

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Solution

The fourth proportional to 206.57, 285.59 and 154.73 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 285.59 = 154.73 : x
  2. Step 2: Convert to fraction form
    206.57/285.59 = 154.73/x
  3. Step 3: Cross multiply
    206.57x = 285.59 × 154.73
  4. Step 4: Simplify right side
    206.57x = 44,188.57
  5. Step 5: Solve for x
    x = 44,188.57/206.57
  6. Step 6: Final answer
    x = 213.92

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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.