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Finding the Fourth Proportional to 241.92, 363.08 and 112.07

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Solution

The fourth proportional to 241.92, 363.08 and 112.07 is: 168.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.92 : 363.08 = 112.07 : x
  2. Step 2: Convert to fraction form
    241.92/363.08 = 112.07/x
  3. Step 3: Cross multiply
    241.92x = 363.08 × 112.07
  4. Step 4: Simplify right side
    241.92x = 40,688.00
  5. Step 5: Solve for x
    x = 40,688.00/241.92
  6. Step 6: Final answer
    x = 168.19

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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.