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Finding the Fourth Proportional to 338.67, 467.52 and 207.73

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Solution

The fourth proportional to 338.67, 467.52 and 207.73 is: 286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.67 : 467.52 = 207.73 : x
  2. Step 2: Convert to fraction form
    338.67/467.52 = 207.73/x
  3. Step 3: Cross multiply
    338.67x = 467.52 × 207.73
  4. Step 4: Simplify right side
    338.67x = 97,117.93
  5. Step 5: Solve for x
    x = 97,117.93/338.67
  6. Step 6: Final answer
    x = 286.76

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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.