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Finding the Fourth Proportional to 245.30, 338.46 and 206.11

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Solution

The fourth proportional to 245.30, 338.46 and 206.11 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.30 : 338.46 = 206.11 : x
  2. Step 2: Convert to fraction form
    245.30/338.46 = 206.11/x
  3. Step 3: Cross multiply
    245.30x = 338.46 × 206.11
  4. Step 4: Simplify right side
    245.30x = 69,758.30
  5. Step 5: Solve for x
    x = 69,758.30/245.30
  6. Step 6: Final answer
    x = 284.38

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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.