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Finding the Fourth Proportional to 241.58, 362.32 and 68.21

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Solution

The fourth proportional to 241.58, 362.32 and 68.21 is: 102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.58 : 362.32 = 68.21 : x
  2. Step 2: Convert to fraction form
    241.58/362.32 = 68.21/x
  3. Step 3: Cross multiply
    241.58x = 362.32 × 68.21
  4. Step 4: Simplify right side
    241.58x = 24,713.85
  5. Step 5: Solve for x
    x = 24,713.85/241.58
  6. Step 6: Final answer
    x = 102.30

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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.