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Finding the Fourth Proportional to 206.49, 284.70 and 173.67

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Solution

The fourth proportional to 206.49, 284.70 and 173.67 is: 239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 284.70 = 173.67 : x
  2. Step 2: Convert to fraction form
    206.49/284.70 = 173.67/x
  3. Step 3: Cross multiply
    206.49x = 284.70 × 173.67
  4. Step 4: Simplify right side
    206.49x = 49,443.85
  5. Step 5: Solve for x
    x = 49,443.85/206.49
  6. Step 6: Final answer
    x = 239.45

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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.