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Finding the Fourth Proportional to 206.49, 284.55 and 154.09

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Solution

The fourth proportional to 206.49, 284.55 and 154.09 is: 212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 284.55 = 154.09 : x
  2. Step 2: Convert to fraction form
    206.49/284.55 = 154.09/x
  3. Step 3: Cross multiply
    206.49x = 284.55 × 154.09
  4. Step 4: Simplify right side
    206.49x = 43,846.31
  5. Step 5: Solve for x
    x = 43,846.31/206.49
  6. Step 6: Final answer
    x = 212.34

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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.