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Finding the Fourth Proportional to 177.21, 244.62 and 138.42

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Solution

The fourth proportional to 177.21, 244.62 and 138.42 is: 191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.21 : 244.62 = 138.42 : x
  2. Step 2: Convert to fraction form
    177.21/244.62 = 138.42/x
  3. Step 3: Cross multiply
    177.21x = 244.62 × 138.42
  4. Step 4: Simplify right side
    177.21x = 33,860.30
  5. Step 5: Solve for x
    x = 33,860.30/177.21
  6. Step 6: Final answer
    x = 191.07

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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.