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Finding the Fourth Proportional to 339.22, 468.32 and 214.99

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Solution

The fourth proportional to 339.22, 468.32 and 214.99 is: 296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.22 : 468.32 = 214.99 : x
  2. Step 2: Convert to fraction form
    339.22/468.32 = 214.99/x
  3. Step 3: Cross multiply
    339.22x = 468.32 × 214.99
  4. Step 4: Simplify right side
    339.22x = 100,684.12
  5. Step 5: Solve for x
    x = 100,684.12/339.22
  6. Step 6: Final answer
    x = 296.81

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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.