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Finding the Fourth Proportional to 338.54, 467.32 and 214.18

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Solution

The fourth proportional to 338.54, 467.32 and 214.18 is: 295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.54 : 467.32 = 214.18 : x
  2. Step 2: Convert to fraction form
    338.54/467.32 = 214.18/x
  3. Step 3: Cross multiply
    338.54x = 467.32 × 214.18
  4. Step 4: Simplify right side
    338.54x = 100,087.86
  5. Step 5: Solve for x
    x = 100,087.86/338.54
  6. Step 6: Final answer
    x = 295.65

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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.