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Finding the Fourth Proportional to 338.80, 467.64 and 245.50

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Solution

The fourth proportional to 338.80, 467.64 and 245.50 is: 338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.80 : 467.64 = 245.50 : x
  2. Step 2: Convert to fraction form
    338.80/467.64 = 245.50/x
  3. Step 3: Cross multiply
    338.80x = 467.64 × 245.50
  4. Step 4: Simplify right side
    338.80x = 114,805.62
  5. Step 5: Solve for x
    x = 114,805.62/338.80
  6. Step 6: Final answer
    x = 338.86

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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.