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Finding the Fourth Proportional to 275.57, 414.02 and 178.12

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Solution

The fourth proportional to 275.57, 414.02 and 178.12 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.57 : 414.02 = 178.12 : x
  2. Step 2: Convert to fraction form
    275.57/414.02 = 178.12/x
  3. Step 3: Cross multiply
    275.57x = 414.02 × 178.12
  4. Step 4: Simplify right side
    275.57x = 73,745.24
  5. Step 5: Solve for x
    x = 73,745.24/275.57
  6. Step 6: Final answer
    x = 267.61

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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.