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Finding the Fourth Proportional to 338.82, 467.63 and 207.82

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Solution

The fourth proportional to 338.82, 467.63 and 207.82 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.82 : 467.63 = 207.82 : x
  2. Step 2: Convert to fraction form
    338.82/467.63 = 207.82/x
  3. Step 3: Cross multiply
    338.82x = 467.63 × 207.82
  4. Step 4: Simplify right side
    338.82x = 97,182.87
  5. Step 5: Solve for x
    x = 97,182.87/338.82
  6. Step 6: Final answer
    x = 286.83

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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.