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Finding the Fourth Proportional to 338.89, 467.73 and 206.14

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Solution

The fourth proportional to 338.89, 467.73 and 206.14 is: 284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.89 : 467.73 = 206.14 : x
  2. Step 2: Convert to fraction form
    338.89/467.73 = 206.14/x
  3. Step 3: Cross multiply
    338.89x = 467.73 × 206.14
  4. Step 4: Simplify right side
    338.89x = 96,417.86
  5. Step 5: Solve for x
    x = 96,417.86/338.89
  6. Step 6: Final answer
    x = 284.51

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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.