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Finding the Fourth Proportional to 241.96, 362.64 and 173.62

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Solution

The fourth proportional to 241.96, 362.64 and 173.62 is: 260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.96 : 362.64 = 173.62 : x
  2. Step 2: Convert to fraction form
    241.96/362.64 = 173.62/x
  3. Step 3: Cross multiply
    241.96x = 362.64 × 173.62
  4. Step 4: Simplify right side
    241.96x = 62,961.56
  5. Step 5: Solve for x
    x = 62,961.56/241.96
  6. Step 6: Final answer
    x = 260.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.