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Finding the Fourth Proportional to 338.34, 466.95 and 205.59

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Solution

The fourth proportional to 338.34, 466.95 and 205.59 is: 283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.34 : 466.95 = 205.59 : x
  2. Step 2: Convert to fraction form
    338.34/466.95 = 205.59/x
  3. Step 3: Cross multiply
    338.34x = 466.95 × 205.59
  4. Step 4: Simplify right side
    338.34x = 96,000.25
  5. Step 5: Solve for x
    x = 96,000.25/338.34
  6. Step 6: Final answer
    x = 283.74

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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.