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Finding the Fourth Proportional to 178.81, 267.97 and 132.79

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Solution

The fourth proportional to 178.81, 267.97 and 132.79 is: 199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.81 : 267.97 = 132.79 : x
  2. Step 2: Convert to fraction form
    178.81/267.97 = 132.79/x
  3. Step 3: Cross multiply
    178.81x = 267.97 × 132.79
  4. Step 4: Simplify right side
    178.81x = 35,583.74
  5. Step 5: Solve for x
    x = 35,583.74/178.81
  6. Step 6: Final answer
    x = 199.00

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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.