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Finding the Fourth Proportional to 339.20, 468.06 and 214.65

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Solution

The fourth proportional to 339.20, 468.06 and 214.65 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.20 : 468.06 = 214.65 : x
  2. Step 2: Convert to fraction form
    339.20/468.06 = 214.65/x
  3. Step 3: Cross multiply
    339.20x = 468.06 × 214.65
  4. Step 4: Simplify right side
    339.20x = 100,469.08
  5. Step 5: Solve for x
    x = 100,469.08/339.20
  6. Step 6: Final answer
    x = 296.20

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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.