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Finding the Fourth Proportional to 246.43, 369.95 and 225.77

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Solution

The fourth proportional to 246.43, 369.95 and 225.77 is: 338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.43 : 369.95 = 225.77 : x
  2. Step 2: Convert to fraction form
    246.43/369.95 = 225.77/x
  3. Step 3: Cross multiply
    246.43x = 369.95 × 225.77
  4. Step 4: Simplify right side
    246.43x = 83,523.41
  5. Step 5: Solve for x
    x = 83,523.41/246.43
  6. Step 6: Final answer
    x = 338.94

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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.