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Finding the Fourth Proportional to 241.85, 362.46 and 126.20

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Solution

The fourth proportional to 241.85, 362.46 and 126.20 is: 189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.85 : 362.46 = 126.20 : x
  2. Step 2: Convert to fraction form
    241.85/362.46 = 126.20/x
  3. Step 3: Cross multiply
    241.85x = 362.46 × 126.20
  4. Step 4: Simplify right side
    241.85x = 45,742.45
  5. Step 5: Solve for x
    x = 45,742.45/241.85
  6. Step 6: Final answer
    x = 189.14

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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.