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Finding the Fourth Proportional to 206.60, 284.99 and 136.71

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Solution

The fourth proportional to 206.60, 284.99 and 136.71 is: 188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.60 : 284.99 = 136.71 : x
  2. Step 2: Convert to fraction form
    206.60/284.99 = 136.71/x
  3. Step 3: Cross multiply
    206.60x = 284.99 × 136.71
  4. Step 4: Simplify right side
    206.60x = 38,960.30
  5. Step 5: Solve for x
    x = 38,960.30/206.60
  6. Step 6: Final answer
    x = 188.58

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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.