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Finding the Fourth Proportional to 177.77, 266.84 and 129.09

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Solution

The fourth proportional to 177.77, 266.84 and 129.09 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.77 : 266.84 = 129.09 : x
  2. Step 2: Convert to fraction form
    177.77/266.84 = 129.09/x
  3. Step 3: Cross multiply
    177.77x = 266.84 × 129.09
  4. Step 4: Simplify right side
    177.77x = 34,447.94
  5. Step 5: Solve for x
    x = 34,447.94/177.77
  6. Step 6: Final answer
    x = 193.78

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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.