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Finding the Fourth Proportional to 246.92, 370.29 and 178.23

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Solution

The fourth proportional to 246.92, 370.29 and 178.23 is: 267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.92 : 370.29 = 178.23 : x
  2. Step 2: Convert to fraction form
    246.92/370.29 = 178.23/x
  3. Step 3: Cross multiply
    246.92x = 370.29 × 178.23
  4. Step 4: Simplify right side
    246.92x = 65,996.79
  5. Step 5: Solve for x
    x = 65,996.79/246.92
  6. Step 6: Final answer
    x = 267.29

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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.