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Finding the Fourth Proportional to 241.50, 333.33 and 213.96

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Solution

The fourth proportional to 241.50, 333.33 and 213.96 is: 295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.50 : 333.33 = 213.96 : x
  2. Step 2: Convert to fraction form
    241.50/333.33 = 213.96/x
  3. Step 3: Cross multiply
    241.50x = 333.33 × 213.96
  4. Step 4: Simplify right side
    241.50x = 71,319.29
  5. Step 5: Solve for x
    x = 71,319.29/241.50
  6. Step 6: Final answer
    x = 295.32

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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.