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Finding the Fourth Proportional to 241.68, 333.60 and 142.09

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Solution

The fourth proportional to 241.68, 333.60 and 142.09 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.68 : 333.60 = 142.09 : x
  2. Step 2: Convert to fraction form
    241.68/333.60 = 142.09/x
  3. Step 3: Cross multiply
    241.68x = 333.60 × 142.09
  4. Step 4: Simplify right side
    241.68x = 47,402.49
  5. Step 5: Solve for x
    x = 47,402.49/241.68
  6. Step 6: Final answer
    x = 196.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.