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Finding the Fourth Proportional to 241.88, 334.06 and 164.12

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Solution

The fourth proportional to 241.88, 334.06 and 164.12 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.88 : 334.06 = 164.12 : x
  2. Step 2: Convert to fraction form
    241.88/334.06 = 164.12/x
  3. Step 3: Cross multiply
    241.88x = 334.06 × 164.12
  4. Step 4: Simplify right side
    241.88x = 54,823.85
  5. Step 5: Solve for x
    x = 54,823.85/241.88
  6. Step 6: Final answer
    x = 226.66

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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.