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Finding the Fourth Proportional to 119.86, 178.78 and 116.26

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Solution

The fourth proportional to 119.86, 178.78 and 116.26 is: 173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.86 : 178.78 = 116.26 : x
  2. Step 2: Convert to fraction form
    119.86/178.78 = 116.26/x
  3. Step 3: Cross multiply
    119.86x = 178.78 × 116.26
  4. Step 4: Simplify right side
    119.86x = 20,784.96
  5. Step 5: Solve for x
    x = 20,784.96/119.86
  6. Step 6: Final answer
    x = 173.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.