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Finding the Fourth Proportional to 338.85, 467.60 and 207.86

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Solution

The fourth proportional to 338.85, 467.60 and 207.86 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.85 : 467.60 = 207.86 : x
  2. Step 2: Convert to fraction form
    338.85/467.60 = 207.86/x
  3. Step 3: Cross multiply
    338.85x = 467.60 × 207.86
  4. Step 4: Simplify right side
    338.85x = 97,193.86
  5. Step 5: Solve for x
    x = 97,193.86/338.85
  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.