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Finding the Fourth Proportional to 338.50, 467.14 and 207.48

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Solution

The fourth proportional to 338.50, 467.14 and 207.48 is: 286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.50 : 467.14 = 207.48 : x
  2. Step 2: Convert to fraction form
    338.50/467.14 = 207.48/x
  3. Step 3: Cross multiply
    338.50x = 467.14 × 207.48
  4. Step 4: Simplify right side
    338.50x = 96,922.21
  5. Step 5: Solve for x
    x = 96,922.21/338.50
  6. Step 6: Final answer
    x = 286.33

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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.