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Finding the Fourth Proportional to 338.25, 466.96 and 214.04

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Solution

The fourth proportional to 338.25, 466.96 and 214.04 is: 295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.25 : 466.96 = 214.04 : x
  2. Step 2: Convert to fraction form
    338.25/466.96 = 214.04/x
  3. Step 3: Cross multiply
    338.25x = 466.96 × 214.04
  4. Step 4: Simplify right side
    338.25x = 99,948.12
  5. Step 5: Solve for x
    x = 99,948.12/338.25
  6. Step 6: Final answer
    x = 295.49

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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.