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Finding the Fourth Proportional to 206.89, 284.60 and 173.68

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Solution

The fourth proportional to 206.89, 284.60 and 173.68 is: 238.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.89 : 284.60 = 173.68 : x
  2. Step 2: Convert to fraction form
    206.89/284.60 = 173.68/x
  3. Step 3: Cross multiply
    206.89x = 284.60 × 173.68
  4. Step 4: Simplify right side
    206.89x = 49,429.05
  5. Step 5: Solve for x
    x = 49,429.05/206.89
  6. Step 6: Final answer
    x = 238.92

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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.