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Finding the Fourth Proportional to 245.34, 338.13 and 205.83

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Solution

The fourth proportional to 245.34, 338.13 and 205.83 is: 283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.34 : 338.13 = 205.83 : x
  2. Step 2: Convert to fraction form
    245.34/338.13 = 205.83/x
  3. Step 3: Cross multiply
    245.34x = 338.13 × 205.83
  4. Step 4: Simplify right side
    245.34x = 69,597.30
  5. Step 5: Solve for x
    x = 69,597.30/245.34
  6. Step 6: Final answer
    x = 283.68

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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.