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Finding the Fourth Proportional to 241.72, 333.66 and 138.28

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Solution

The fourth proportional to 241.72, 333.66 and 138.28 is: 190.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.72 : 333.66 = 138.28 : x
  2. Step 2: Convert to fraction form
    241.72/333.66 = 138.28/x
  3. Step 3: Cross multiply
    241.72x = 333.66 × 138.28
  4. Step 4: Simplify right side
    241.72x = 46,138.50
  5. Step 5: Solve for x
    x = 46,138.50/241.72
  6. Step 6: Final answer
    x = 190.88

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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.