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Finding the Fourth Proportional to 338, 466.50 and 221.82

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Solution

The fourth proportional to 338, 466.50 and 221.82 is: 306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 466.50 = 221.82 : x
  2. Step 2: Convert to fraction form
    338/466.50 = 221.82/x
  3. Step 3: Cross multiply
    338x = 466.50 × 221.82
  4. Step 4: Simplify right side
    338x = 103,479.03
  5. Step 5: Solve for x
    x = 103,479.03/338
  6. Step 6: Final answer
    x = 306.15

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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.