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Finding the Fourth Proportional to 241.50, 362.25 and 227.54

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Solution

The fourth proportional to 241.50, 362.25 and 227.54 is: 341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.50 : 362.25 = 227.54 : x
  2. Step 2: Convert to fraction form
    241.50/362.25 = 227.54/x
  3. Step 3: Cross multiply
    241.50x = 362.25 × 227.54
  4. Step 4: Simplify right side
    241.50x = 82,424.55
  5. Step 5: Solve for x
    x = 82,424.55/241.50
  6. Step 6: Final answer
    x = 341.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.