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Finding the Fourth Proportional to 178.24, 267.36 and 82

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Solution

The fourth proportional to 178.24, 267.36 and 82 is: 123

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 267.36 = 82 : x
  2. Step 2: Convert to fraction form
    178.24/267.36 = 82/x
  3. Step 3: Cross multiply
    178.24x = 267.36 × 82
  4. Step 4: Simplify right side
    178.24x = 21,923.52
  5. Step 5: Solve for x
    x = 21,923.52/178.24
  6. Step 6: Final answer
    x = 123

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.