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Finding the Fourth Proportional to 178.95, 267.69 and 132.99

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Solution

The fourth proportional to 178.95, 267.69 and 132.99 is: 198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.95 : 267.69 = 132.99 : x
  2. Step 2: Convert to fraction form
    178.95/267.69 = 132.99/x
  3. Step 3: Cross multiply
    178.95x = 267.69 × 132.99
  4. Step 4: Simplify right side
    178.95x = 35,600.09
  5. Step 5: Solve for x
    x = 35,600.09/178.95
  6. Step 6: Final answer
    x = 198.94

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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.