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Finding the Fourth Proportional to 246.55, 369.97 and 142.57

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Solution

The fourth proportional to 246.55, 369.97 and 142.57 is: 213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.55 : 369.97 = 142.57 : x
  2. Step 2: Convert to fraction form
    246.55/369.97 = 142.57/x
  3. Step 3: Cross multiply
    246.55x = 369.97 × 142.57
  4. Step 4: Simplify right side
    246.55x = 52,745.81
  5. Step 5: Solve for x
    x = 52,745.81/246.55
  6. Step 6: Final answer
    x = 213.94

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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.