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Finding the Fourth Proportional to 177.36, 266.05 and 67.73

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Solution

The fourth proportional to 177.36, 266.05 and 67.73 is: 101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.36 : 266.05 = 67.73 : x
  2. Step 2: Convert to fraction form
    177.36/266.05 = 67.73/x
  3. Step 3: Cross multiply
    177.36x = 266.05 × 67.73
  4. Step 4: Simplify right side
    177.36x = 18,018.31
  5. Step 5: Solve for x
    x = 18,018.31/177.36
  6. Step 6: Final answer
    x = 101.59

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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.