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Finding the Fourth Proportional to 206.16, 284.50 and 122.12

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Solution

The fourth proportional to 206.16, 284.50 and 122.12 is: 168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 284.50 = 122.12 : x
  2. Step 2: Convert to fraction form
    206.16/284.50 = 122.12/x
  3. Step 3: Cross multiply
    206.16x = 284.50 × 122.12
  4. Step 4: Simplify right side
    206.16x = 34,744.23
  5. Step 5: Solve for x
    x = 34,744.23/206.16
  6. Step 6: Final answer
    x = 168.53

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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.