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Finding the Fourth Proportional to 177.60, 244.92 and 103.92

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Solution

The fourth proportional to 177.60, 244.92 and 103.92 is: 143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 244.92 = 103.92 : x
  2. Step 2: Convert to fraction form
    177.60/244.92 = 103.92/x
  3. Step 3: Cross multiply
    177.60x = 244.92 × 103.92
  4. Step 4: Simplify right side
    177.60x = 25,452.09
  5. Step 5: Solve for x
    x = 25,452.09/177.60
  6. Step 6: Final answer
    x = 143.31

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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.