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Finding the Fourth Proportional to 245.40, 338.88 and 204.42

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Solution

The fourth proportional to 245.40, 338.88 and 204.42 is: 282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.40 : 338.88 = 204.42 : x
  2. Step 2: Convert to fraction form
    245.40/338.88 = 204.42/x
  3. Step 3: Cross multiply
    245.40x = 338.88 × 204.42
  4. Step 4: Simplify right side
    245.40x = 69,273.85
  5. Step 5: Solve for x
    x = 69,273.85/245.40
  6. Step 6: Final answer
    x = 282.29

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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.