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Finding the Fourth Proportional to 241.65, 362.29 and 113.25

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Solution

The fourth proportional to 241.65, 362.29 and 113.25 is: 169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.65 : 362.29 = 113.25 : x
  2. Step 2: Convert to fraction form
    241.65/362.29 = 113.25/x
  3. Step 3: Cross multiply
    241.65x = 362.29 × 113.25
  4. Step 4: Simplify right side
    241.65x = 41,029.34
  5. Step 5: Solve for x
    x = 41,029.34/241.65
  6. Step 6: Final answer
    x = 169.79

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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.