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Finding the Fourth Proportional to 338.41, 466.89 and 214.21

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Solution

The fourth proportional to 338.41, 466.89 and 214.21 is: 295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.41 : 466.89 = 214.21 : x
  2. Step 2: Convert to fraction form
    338.41/466.89 = 214.21/x
  3. Step 3: Cross multiply
    338.41x = 466.89 × 214.21
  4. Step 4: Simplify right side
    338.41x = 100,012.51
  5. Step 5: Solve for x
    x = 100,012.51/338.41
  6. Step 6: Final answer
    x = 295.54

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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.