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Finding the Fourth Proportional to 338.43, 466.86 and 214.14

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Solution

The fourth proportional to 338.43, 466.86 and 214.14 is: 295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.43 : 466.86 = 214.14 : x
  2. Step 2: Convert to fraction form
    338.43/466.86 = 214.14/x
  3. Step 3: Cross multiply
    338.43x = 466.86 × 214.14
  4. Step 4: Simplify right side
    338.43x = 99,975.95
  5. Step 5: Solve for x
    x = 99,975.95/338.43
  6. Step 6: Final answer
    x = 295.41

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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.