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Finding the Fourth Proportional to 241.32, 361.99 and 67.99

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Solution

The fourth proportional to 241.32, 361.99 and 67.99 is: 101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.32 : 361.99 = 67.99 : x
  2. Step 2: Convert to fraction form
    241.32/361.99 = 67.99/x
  3. Step 3: Cross multiply
    241.32x = 361.99 × 67.99
  4. Step 4: Simplify right side
    241.32x = 24,610.22
  5. Step 5: Solve for x
    x = 24,610.22/241.32
  6. Step 6: Final answer
    x = 101.98

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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.