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Finding the Fourth Proportional to 241.12, 332.88 and 226.48

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Solution

The fourth proportional to 241.12, 332.88 and 226.48 is: 312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.12 : 332.88 = 226.48 : x
  2. Step 2: Convert to fraction form
    241.12/332.88 = 226.48/x
  3. Step 3: Cross multiply
    241.12x = 332.88 × 226.48
  4. Step 4: Simplify right side
    241.12x = 75,390.66
  5. Step 5: Solve for x
    x = 75,390.66/241.12
  6. Step 6: Final answer
    x = 312.67

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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.