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Finding the Fourth Proportional to 161.44, 241.01 and 138.70

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Solution

The fourth proportional to 161.44, 241.01 and 138.70 is: 207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.44 : 241.01 = 138.70 : x
  2. Step 2: Convert to fraction form
    161.44/241.01 = 138.70/x
  3. Step 3: Cross multiply
    161.44x = 241.01 × 138.70
  4. Step 4: Simplify right side
    161.44x = 33,428.09
  5. Step 5: Solve for x
    x = 33,428.09/161.44
  6. Step 6: Final answer
    x = 207.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.