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Finding the Fourth Proportional to 244.92, 338.08 and 206.04

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Solution

The fourth proportional to 244.92, 338.08 and 206.04 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.92 : 338.08 = 206.04 : x
  2. Step 2: Convert to fraction form
    244.92/338.08 = 206.04/x
  3. Step 3: Cross multiply
    244.92x = 338.08 × 206.04
  4. Step 4: Simplify right side
    244.92x = 69,658.00
  5. Step 5: Solve for x
    x = 69,658.00/244.92
  6. Step 6: Final answer
    x = 284.41

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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.