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Finding the Fourth Proportional to 177.28, 243.64 and 138.40

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Solution

The fourth proportional to 177.28, 243.64 and 138.40 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.28 : 243.64 = 138.40 : x
  2. Step 2: Convert to fraction form
    177.28/243.64 = 138.40/x
  3. Step 3: Cross multiply
    177.28x = 243.64 × 138.40
  4. Step 4: Simplify right side
    177.28x = 33,719.78
  5. Step 5: Solve for x
    x = 33,719.78/177.28
  6. Step 6: Final answer
    x = 190.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.