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Finding the Fourth Proportional to 241.36, 333.08 and 161.46

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Solution

The fourth proportional to 241.36, 333.08 and 161.46 is: 222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.36 : 333.08 = 161.46 : x
  2. Step 2: Convert to fraction form
    241.36/333.08 = 161.46/x
  3. Step 3: Cross multiply
    241.36x = 333.08 × 161.46
  4. Step 4: Simplify right side
    241.36x = 53,779.10
  5. Step 5: Solve for x
    x = 53,779.10/241.36
  6. Step 6: Final answer
    x = 222.82

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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.