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Finding the Fourth Proportional to 339.06, 467.86 and 214.50

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Solution

The fourth proportional to 339.06, 467.86 and 214.50 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.06 : 467.86 = 214.50 : x
  2. Step 2: Convert to fraction form
    339.06/467.86 = 214.50/x
  3. Step 3: Cross multiply
    339.06x = 467.86 × 214.50
  4. Step 4: Simplify right side
    339.06x = 100,355.97
  5. Step 5: Solve for x
    x = 100,355.97/339.06
  6. Step 6: Final answer
    x = 295.98

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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.