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Finding the Fourth Proportional to 247.70, 370.76 and 178.44

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Solution

The fourth proportional to 247.70, 370.76 and 178.44 is: 267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.70 : 370.76 = 178.44 : x
  2. Step 2: Convert to fraction form
    247.70/370.76 = 178.44/x
  3. Step 3: Cross multiply
    247.70x = 370.76 × 178.44
  4. Step 4: Simplify right side
    247.70x = 66,157.52
  5. Step 5: Solve for x
    x = 66,157.52/247.70
  6. Step 6: Final answer
    x = 267.09

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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.