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Finding the Fourth Proportional to 206.56, 285.17 and 123.69

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Solution

The fourth proportional to 206.56, 285.17 and 123.69 is: 170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.56 : 285.17 = 123.69 : x
  2. Step 2: Convert to fraction form
    206.56/285.17 = 123.69/x
  3. Step 3: Cross multiply
    206.56x = 285.17 × 123.69
  4. Step 4: Simplify right side
    206.56x = 35,272.68
  5. Step 5: Solve for x
    x = 35,272.68/206.56
  6. Step 6: Final answer
    x = 170.76

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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.