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Finding the Fourth Proportional to 246.36, 339.96 and 145.44

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Solution

The fourth proportional to 246.36, 339.96 and 145.44 is: 200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.36 : 339.96 = 145.44 : x
  2. Step 2: Convert to fraction form
    246.36/339.96 = 145.44/x
  3. Step 3: Cross multiply
    246.36x = 339.96 × 145.44
  4. Step 4: Simplify right side
    246.36x = 49,443.78
  5. Step 5: Solve for x
    x = 49,443.78/246.36
  6. Step 6: Final answer
    x = 200.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.