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Finding the Fourth Proportional to 206.96, 285.66 and 137.03

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Solution

The fourth proportional to 206.96, 285.66 and 137.03 is: 189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.96 : 285.66 = 137.03 : x
  2. Step 2: Convert to fraction form
    206.96/285.66 = 137.03/x
  3. Step 3: Cross multiply
    206.96x = 285.66 × 137.03
  4. Step 4: Simplify right side
    206.96x = 39,142.56
  5. Step 5: Solve for x
    x = 39,142.56/206.96
  6. Step 6: Final answer
    x = 189.14

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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.