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Finding the Fourth Proportional to 206.92, 285.57 and 124.06

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Solution

The fourth proportional to 206.92, 285.57 and 124.06 is: 171.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.92 : 285.57 = 124.06 : x
  2. Step 2: Convert to fraction form
    206.92/285.57 = 124.06/x
  3. Step 3: Cross multiply
    206.92x = 285.57 × 124.06
  4. Step 4: Simplify right side
    206.92x = 35,427.81
  5. Step 5: Solve for x
    x = 35,427.81/206.92
  6. Step 6: Final answer
    x = 171.22

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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.