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Finding the Fourth Proportional to 241.79, 362.58 and 161.14

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Solution

The fourth proportional to 241.79, 362.58 and 161.14 is: 241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.79 : 362.58 = 161.14 : x
  2. Step 2: Convert to fraction form
    241.79/362.58 = 161.14/x
  3. Step 3: Cross multiply
    241.79x = 362.58 × 161.14
  4. Step 4: Simplify right side
    241.79x = 58,425.31
  5. Step 5: Solve for x
    x = 58,425.31/241.79
  6. Step 6: Final answer
    x = 241.64

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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.