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Finding the Fourth Proportional to 241.65, 362.72 and 163.33

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Solution

The fourth proportional to 241.65, 362.72 and 163.33 is: 245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.65 : 362.72 = 163.33 : x
  2. Step 2: Convert to fraction form
    241.65/362.72 = 163.33/x
  3. Step 3: Cross multiply
    241.65x = 362.72 × 163.33
  4. Step 4: Simplify right side
    241.65x = 59,243.06
  5. Step 5: Solve for x
    x = 59,243.06/241.65
  6. Step 6: Final answer
    x = 245.16

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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.