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Finding the Fourth Proportional to 241.99, 362.37 and 160.78

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Solution

The fourth proportional to 241.99, 362.37 and 160.78 is: 240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.99 : 362.37 = 160.78 : x
  2. Step 2: Convert to fraction form
    241.99/362.37 = 160.78/x
  3. Step 3: Cross multiply
    241.99x = 362.37 × 160.78
  4. Step 4: Simplify right side
    241.99x = 58,261.85
  5. Step 5: Solve for x
    x = 58,261.85/241.99
  6. Step 6: Final answer
    x = 240.76

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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.