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Finding the Fourth Proportional to 178.74, 268.02 and 81.23

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Solution

The fourth proportional to 178.74, 268.02 and 81.23 is: 121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.74 : 268.02 = 81.23 : x
  2. Step 2: Convert to fraction form
    178.74/268.02 = 81.23/x
  3. Step 3: Cross multiply
    178.74x = 268.02 × 81.23
  4. Step 4: Simplify right side
    178.74x = 21,769.92
  5. Step 5: Solve for x
    x = 21,769.92/178.74
  6. Step 6: Final answer
    x = 121.80

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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.