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Finding the Fourth Proportional to 241.80, 362.81 and 139.26

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Solution

The fourth proportional to 241.80, 362.81 and 139.26 is: 208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.80 : 362.81 = 139.26 : x
  2. Step 2: Convert to fraction form
    241.80/362.81 = 139.26/x
  3. Step 3: Cross multiply
    241.80x = 362.81 × 139.26
  4. Step 4: Simplify right side
    241.80x = 50,526.63
  5. Step 5: Solve for x
    x = 50,526.63/241.80
  6. Step 6: Final answer
    x = 208.96

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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.