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Finding the Fourth Proportional to 177.63, 266.31 and 81.42

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Solution

The fourth proportional to 177.63, 266.31 and 81.42 is: 122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.63 : 266.31 = 81.42 : x
  2. Step 2: Convert to fraction form
    177.63/266.31 = 81.42/x
  3. Step 3: Cross multiply
    177.63x = 266.31 × 81.42
  4. Step 4: Simplify right side
    177.63x = 21,682.96
  5. Step 5: Solve for x
    x = 21,682.96/177.63
  6. Step 6: Final answer
    x = 122.07

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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.