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Finding the Fourth Proportional to 241.20, 333.72 and 204.24

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Solution

The fourth proportional to 241.20, 333.72 and 204.24 is: 282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.20 : 333.72 = 204.24 : x
  2. Step 2: Convert to fraction form
    241.20/333.72 = 204.24/x
  3. Step 3: Cross multiply
    241.20x = 333.72 × 204.24
  4. Step 4: Simplify right side
    241.20x = 68,158.97
  5. Step 5: Solve for x
    x = 68,158.97/241.20
  6. Step 6: Final answer
    x = 282.58

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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.