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Finding the Fourth Proportional to 177.34, 266.27 and 109.15

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Solution

The fourth proportional to 177.34, 266.27 and 109.15 is: 163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.34 : 266.27 = 109.15 : x
  2. Step 2: Convert to fraction form
    177.34/266.27 = 109.15/x
  3. Step 3: Cross multiply
    177.34x = 266.27 × 109.15
  4. Step 4: Simplify right side
    177.34x = 29,062.77
  5. Step 5: Solve for x
    x = 29,062.77/177.34
  6. Step 6: Final answer
    x = 163.88

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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.