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Finding the Fourth Proportional to 177.39, 266.09 and 123.73

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Solution

The fourth proportional to 177.39, 266.09 and 123.73 is: 185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.39 : 266.09 = 123.73 : x
  2. Step 2: Convert to fraction form
    177.39/266.09 = 123.73/x
  3. Step 3: Cross multiply
    177.39x = 266.09 × 123.73
  4. Step 4: Simplify right side
    177.39x = 32,922.03
  5. Step 5: Solve for x
    x = 32,922.03/177.39
  6. Step 6: Final answer
    x = 185.59

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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.