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Finding the Fourth Proportional to 241.79, 362.75 and 181.04

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Solution

The fourth proportional to 241.79, 362.75 and 181.04 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.79 : 362.75 = 181.04 : x
  2. Step 2: Convert to fraction form
    241.79/362.75 = 181.04/x
  3. Step 3: Cross multiply
    241.79x = 362.75 × 181.04
  4. Step 4: Simplify right side
    241.79x = 65,669.54
  5. Step 5: Solve for x
    x = 65,669.54/241.79
  6. Step 6: Final answer
    x = 271.60

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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.