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Finding the Fourth Proportional to 206.97, 285.66 and 157.76

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Solution

The fourth proportional to 206.97, 285.66 and 157.76 is: 217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.97 : 285.66 = 157.76 : x
  2. Step 2: Convert to fraction form
    206.97/285.66 = 157.76/x
  3. Step 3: Cross multiply
    206.97x = 285.66 × 157.76
  4. Step 4: Simplify right side
    206.97x = 45,065.72
  5. Step 5: Solve for x
    x = 45,065.72/206.97
  6. Step 6: Final answer
    x = 217.74

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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.