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Finding the Fourth Proportional to 241.53, 362.39 and 138.89

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Solution

The fourth proportional to 241.53, 362.39 and 138.89 is: 208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.53 : 362.39 = 138.89 : x
  2. Step 2: Convert to fraction form
    241.53/362.39 = 138.89/x
  3. Step 3: Cross multiply
    241.53x = 362.39 × 138.89
  4. Step 4: Simplify right side
    241.53x = 50,329.84
  5. Step 5: Solve for x
    x = 50,329.84/241.53
  6. Step 6: Final answer
    x = 208.38

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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.