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Finding the Fourth Proportional to 177.38, 266.06 and 69.19

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Solution

The fourth proportional to 177.38, 266.06 and 69.19 is: 103.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.38 : 266.06 = 69.19 : x
  2. Step 2: Convert to fraction form
    177.38/266.06 = 69.19/x
  3. Step 3: Cross multiply
    177.38x = 266.06 × 69.19
  4. Step 4: Simplify right side
    177.38x = 18,408.86
  5. Step 5: Solve for x
    x = 18,408.86/177.38
  6. Step 6: Final answer
    x = 103.79

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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.