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Finding the Fourth Proportional to 241.86, 362.94 and 180.90

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Solution

The fourth proportional to 241.86, 362.94 and 180.90 is: 271.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.86 : 362.94 = 180.90 : x
  2. Step 2: Convert to fraction form
    241.86/362.94 = 180.90/x
  3. Step 3: Cross multiply
    241.86x = 362.94 × 180.90
  4. Step 4: Simplify right side
    241.86x = 65,655.85
  5. Step 5: Solve for x
    x = 65,655.85/241.86
  6. Step 6: Final answer
    x = 271.46

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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.