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Finding the Fourth Proportional to 206.74, 285.17 and 157.53

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Solution

The fourth proportional to 206.74, 285.17 and 157.53 is: 217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.74 : 285.17 = 157.53 : x
  2. Step 2: Convert to fraction form
    206.74/285.17 = 157.53/x
  3. Step 3: Cross multiply
    206.74x = 285.17 × 157.53
  4. Step 4: Simplify right side
    206.74x = 44,922.04
  5. Step 5: Solve for x
    x = 44,922.04/206.74
  6. Step 6: Final answer
    x = 217.29

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