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Finding the Fourth Proportional to 206.72, 285.38 and 136.75

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Solution

The fourth proportional to 206.72, 285.38 and 136.75 is: 188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 285.38 = 136.75 : x
  2. Step 2: Convert to fraction form
    206.72/285.38 = 136.75/x
  3. Step 3: Cross multiply
    206.72x = 285.38 × 136.75
  4. Step 4: Simplify right side
    206.72x = 39,025.72
  5. Step 5: Solve for x
    x = 39,025.72/206.72
  6. Step 6: Final answer
    x = 188.79

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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.