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Finding the Fourth Proportional to 177.74, 266.40 and 80.31

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Solution

The fourth proportional to 177.74, 266.40 and 80.31 is: 120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.74 : 266.40 = 80.31 : x
  2. Step 2: Convert to fraction form
    177.74/266.40 = 80.31/x
  3. Step 3: Cross multiply
    177.74x = 266.40 × 80.31
  4. Step 4: Simplify right side
    177.74x = 21,394.58
  5. Step 5: Solve for x
    x = 21,394.58/177.74
  6. Step 6: Final answer
    x = 120.37

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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.