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Finding the Fourth Proportional to 240.39, 331.98 and 214.62

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Solution

The fourth proportional to 240.39, 331.98 and 214.62 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.39 : 331.98 = 214.62 : x
  2. Step 2: Convert to fraction form
    240.39/331.98 = 214.62/x
  3. Step 3: Cross multiply
    240.39x = 331.98 × 214.62
  4. Step 4: Simplify right side
    240.39x = 71,249.55
  5. Step 5: Solve for x
    x = 71,249.55/240.39
  6. Step 6: Final answer
    x = 296.39

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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.