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Finding the Fourth Proportional to 338.53, 467.32 and 214.19

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Solution

The fourth proportional to 338.53, 467.32 and 214.19 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.53 : 467.32 = 214.19 : x
  2. Step 2: Convert to fraction form
    338.53/467.32 = 214.19/x
  3. Step 3: Cross multiply
    338.53x = 467.32 × 214.19
  4. Step 4: Simplify right side
    338.53x = 100,097.18
  5. Step 5: Solve for x
    x = 100,097.18/338.53
  6. Step 6: Final answer
    x = 295.68

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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.