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Finding the Fourth Proportional to 177.73, 267.03 and 109.33

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Solution

The fourth proportional to 177.73, 267.03 and 109.33 is: 164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.73 : 267.03 = 109.33 : x
  2. Step 2: Convert to fraction form
    177.73/267.03 = 109.33/x
  3. Step 3: Cross multiply
    177.73x = 267.03 × 109.33
  4. Step 4: Simplify right side
    177.73x = 29,193.72
  5. Step 5: Solve for x
    x = 29,193.72/177.73
  6. Step 6: Final answer
    x = 164.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.