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Finding the Fourth Proportional to 338.48, 467.24 and 214.12

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Solution

The fourth proportional to 338.48, 467.24 and 214.12 is: 295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.48 : 467.24 = 214.12 : x
  2. Step 2: Convert to fraction form
    338.48/467.24 = 214.12/x
  3. Step 3: Cross multiply
    338.48x = 467.24 × 214.12
  4. Step 4: Simplify right side
    338.48x = 100,045.43
  5. Step 5: Solve for x
    x = 100,045.43/338.48
  6. Step 6: Final answer
    x = 295.57

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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.