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Finding the Fourth Proportional to 245.84, 338.84 and 204.54

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Solution

The fourth proportional to 245.84, 338.84 and 204.54 is: 281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.84 : 338.84 = 204.54 : x
  2. Step 2: Convert to fraction form
    245.84/338.84 = 204.54/x
  3. Step 3: Cross multiply
    245.84x = 338.84 × 204.54
  4. Step 4: Simplify right side
    245.84x = 69,306.33
  5. Step 5: Solve for x
    x = 69,306.33/245.84
  6. Step 6: Final answer
    x = 281.92

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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.