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Finding the Fourth Proportional to 206.76, 285.06 and 136.80

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Solution

The fourth proportional to 206.76, 285.06 and 136.80 is: 188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.76 : 285.06 = 136.80 : x
  2. Step 2: Convert to fraction form
    206.76/285.06 = 136.80/x
  3. Step 3: Cross multiply
    206.76x = 285.06 × 136.80
  4. Step 4: Simplify right side
    206.76x = 38,996.21
  5. Step 5: Solve for x
    x = 38,996.21/206.76
  6. Step 6: Final answer
    x = 188.61

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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.