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Finding the Fourth Proportional to 206.48, 284.90 and 119.14

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Solution

The fourth proportional to 206.48, 284.90 and 119.14 is: 164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 284.90 = 119.14 : x
  2. Step 2: Convert to fraction form
    206.48/284.90 = 119.14/x
  3. Step 3: Cross multiply
    206.48x = 284.90 × 119.14
  4. Step 4: Simplify right side
    206.48x = 33,942.99
  5. Step 5: Solve for x
    x = 33,942.99/206.48
  6. Step 6: Final answer
    x = 164.39

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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.