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Finding the Fourth Proportional to 338, 466.48 and 200

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Solution

The fourth proportional to 338, 466.48 and 200 is: 276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 466.48 = 200 : x
  2. Step 2: Convert to fraction form
    338/466.48 = 200/x
  3. Step 3: Cross multiply
    338x = 466.48 × 200
  4. Step 4: Simplify right side
    338x = 93,296
  5. Step 5: Solve for x
    x = 93,296/338
  6. Step 6: Final answer
    x = 276.02

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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.