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Finding the Fourth Proportional to 241.70, 361.92 and 180.74

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Solution

The fourth proportional to 241.70, 361.92 and 180.74 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.70 : 361.92 = 180.74 : x
  2. Step 2: Convert to fraction form
    241.70/361.92 = 180.74/x
  3. Step 3: Cross multiply
    241.70x = 361.92 × 180.74
  4. Step 4: Simplify right side
    241.70x = 65,413.42
  5. Step 5: Solve for x
    x = 65,413.42/241.70
  6. Step 6: Final answer
    x = 270.64

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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.