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Finding the Fourth Proportional to 339.36, 468.44 and 215.02

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Solution

The fourth proportional to 339.36, 468.44 and 215.02 is: 296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.36 : 468.44 = 215.02 : x
  2. Step 2: Convert to fraction form
    339.36/468.44 = 215.02/x
  3. Step 3: Cross multiply
    339.36x = 468.44 × 215.02
  4. Step 4: Simplify right side
    339.36x = 100,723.97
  5. Step 5: Solve for x
    x = 100,723.97/339.36
  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.